Rectangle
A = l × b
P = 2(l+b)
l = length,
b = breadth
Square
A = s × s
P = 4 × s
s = side
Circle
A = πr
P = 2πr
r = radius,
π = 22/7 or 3.14
Ellipse
A = π×b
P = π(a+b)
a = semi major axis
b = semi minor axis
Parallelogram
A = b × h
P = 2(a+b)
b = base, h = height
a and b are the opposite sides
Rhombus
A = 1/2 (d1 × d2)
P = 4 × a
d1, d2 = diagonals
a = side of rhombus
Trapezium
A = 1/2 × (a+b) × h
P = Sum of all Sides
a,b = length of parallel sides,
h = height
For polygons, perimeter can be calculated as sum of lengths of its sides. And, for a regular polygon, i.e a polygon having equal sides, perimeter is calculated as n × a, where n is number of sides or edges of the polygon and a is the measure of its one side.
The 2D shapes have some specific properties related to their dimensions and orientation of their dimensions which they adhere to. They have defined formulae to calculate their area and perimeter.
Let’s discuss the formulae to calculate area and perimeter for various shapes.
A triangle is closed figure having three sides. It has three vertices. Altitude or height of a triangle is the perpendicular drawn from one of its vertex to meet the opposite side.
The side to which the perpendicular meets is called as the base of a triangle.
Area of a triangle = 1/2 × (base) × (height) Perimeter of a triangle = Sum of all three sides
A rectangle is a four sided polygon having opposite sides equal and parallel. All the angles of a rectangle are equal to 90°.
Area of a rectangle = length × breadth Perimeter of a rectangle = 2 × (length + breadth)
A square is a four sided polygon having all four sides equal and parallel to each other. Also, all angles of a square have a measure of 90° each. Thus, a square can be said to be a special type of rectangle having all four sides equal.
Area of a Square = (side) × (side) Perimeter of a Square = 4 × (side)
A parallelogram is a four sided polygon having opposite sides equal and parallel. The perpendicular distance between two opposite sides is called as the height of a parallelogram. The length of those sides is called as the base of a parallelogram.
Area of a Parallelogram = Base × Height Perimeter of a Parallelogram = 2 × (Sum of opposite sides)
A rhombus is a four sided polygon having all four sides equal and opposite sides being parallel to each other. The area of a rhombus is calculated by the measure of length of its diagonals.
Area of a Rhombus = 1/2 × ( Product of diagonals) Perimeter of a Rhombus = 4 × side
Trapezium is a four sided polygon having two opposite sides parallel to each other. The other two sides may or may not be parallel. The distance between two parallel sides is known as the height of the trapezium.
Area of a trapezium = 1/2 × (Sum of parallel sides) × (height) Perimeter of a trapezium = (Sum of all 4 sides)
Area of a Circle = πr 2 Perimeter of a Circle = 2πr
A semicircle is half of the circle whose one side is curved and other side is bounded by the diameter of the circle.
Area of Semicircle = 1/2 × π × r2 Perimeter of Semicircle = πr + 2r
The differences between Area and Perimeter are listed in form of a table below:
| |
---|---|
Area | Perimeter |
Area is a measure of a region’s size on a surface. The region is a closed 2D figure. | Perimeter is a measure of the length of boundary of any closed 2D shape. |
Area is expressed in square units, such as m , cm , mm , etc. | It is expressed in units, such as m, cm, mm, etc. |
Example: The space occupied by a park. | Example: The length of boundary of park. |
Also, Check: Area and Perimeter Formulas Volume Formulas Diagonal Formula Surface Area Formula
Let’s solve some example problems on the Area and Perimeter formulas of different shapes.
Example 1: Find the values of perimeter and area for rectangular park having length as 40 m and the breadth as 50 m.
Given, Length of rectangle, l = 40 m Breadth of rectangle, b = 50 m We know that, Perimeter of rectangle = 2(l+b) = 2×(40+50) = 2 × 90 = 180 m. Area of rectangle = l × b = 40 × 0 = 2000 m 2 Thus, Perimeter = 180 m. and Area = 2000 m 2
Example 2: A circular running track has a radius of 7 meters. Find its circumference. Take π = 22/7.
We have, Radius, r = 7 m and Circumference of a Circle = 2πr Therefore, Circumference = 2 × (22/7) × 7 = 44 meters Thus, circumference of the circular track comes out to be 44 meters.
Example 3: The opposite sides of a parallelogram have values as 12 units and 8 units. Find the value of its perimeter.
We know that, Perimeter of parallelogram = 2 × (Sum of opposite sides) Thus, Perimeter = 2 × (12+8) = 2 × 20 = 40 units
Following are some practice questions based on calculating area and perimeter for you to solve.
Q1. Find the area of a trapezium whose parallel sides measure 12 cm and 14 cm. The distance between parallel sides is equal to 6 cm.
Q2. Calculate the perimeter of a regular pentagon having each side equal to 5 inches.
Q3. A circle has a diameter of 14 cm. Find the values of its circumference and area. Use, = 22/7.
Q4. The perimeter of a circle is 44 m. Find its radius and then calculate its area.
Area and perimeter of different shapes is essential for solving various geometric problems and real-life applications. The area helps determine the space a shape occupies , while the perimeter measures the length of boundary around it. Learning these area and perimeter formulas for shapes like triangles, rectangles, squares, circles, is crucial in fields like architecture, engineering, and design. By practicing these concepts, one can easily calculate dimensions and solve various problems, making this knowledge extremely useful for students.
Define area and perimeter..
Area is defined as the space occupied by a geometrical shape. Perimeter is defined as the length of boundary of a geometrical shape
The difference between area and perimeter is that Area defines the region occupied by a 2D shape on a surface while Perimeter defines the length of the boundary on a 2D shape.
To find area we need to multiply the dimensions of an object and To find the perimeter we need to take sum of the boundary of the object.
We can find the area of rectangle by finding the product of its length and breadth i.e. l × b and to calculate the perimeter we need to find the sum of its length and breadth and then multiply the sum by 2 i.e. Perimeter = 2(l + b)
Area and Perimeter of a circle depends upon measure of its radius. Perimeter of a circle is generally called its circumference. Following are the formulae to calculate area and perimeter of a circle, Area of a Circle = π×r 2 Perimeter of a Circle = 2×π×r where, π = pi whose value is taken as 22/7 or 3.14 commonly.
Area of a square: A = a 2 (where a is the length of a side) Perimeter of a square: P =4 a (where a is the length of a side)
Area of a rhombus: A =( d 1 × d 2 )/2 (where d 1 and d 2 are the lengths of the diagonals) Perimeter of a rhombus: P =4 a (where a is the length of a side)
Area of a trapezium: A = 1/2( a + b ) h (where a and b are the lengths of the parallel sides and h is the height) Perimeter of a trapezium: P = a + b + c + d (where a , b , c , and d are the lengths of the four sides)
A polygon is closed 2D shape having three or more sides. When all sides of the polygon are equal in length, it is called a regular polygon. For a regular polygon, perimeter is calculated as, P = n × a where, n is the number of sides of the polygon and a is the measure of each of its sides. For a polygon, whose sides may be of different length, perimeter can be calculated as, P = Sum of all sides
For a irregular shape, we try to breakdown the shape into regular shapes such as triangle, rectangle or circle, and then, calculate the areas for each of the shape individually and sum up the individual areas to get the total area of the given irregular shape.
Area and Perimeter do not have any direct mathematical relationship. Both area and perimeter measure different aspects related to any 2D figure, i.e. Area is the region covered by the figure on a surface and Perimeter is the length of boundary required to outline the shape.
Similar reads.
Subject: Mathematics
Age range: 7-11
Resource type: Lesson (complete)
Last updated
18 August 2020
LI – I can understand and work out the area and perimeter of 2D shapes.
this is a bit of a revision lesson - discuss what we already know then go over some examples together as a class and finish with a discussion of what we’ve learned.
Creative Commons "NoDerivatives"
Your rating is required to reflect your happiness.
It's good to leave some feedback.
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have downloaded this resource can review it
Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.
IMAGES
VIDEO
COMMENTS
Well look no further as Area and Perimeter Word Problems PowerPoint Presentation with Exit Slip Worksheet will serve as an exciting lesson plan for 3rd grade elementary school math classrooms. This is a great resource to incorporate into your unit as a guided math lesson, introduction or review exercise, and whole class activity.
The map above shows the approximate perimeter as a black line and the mandatory evacuation area in red. For more details of the evacuation, including warning areas, see the Genasys Protect map.
Please use caution when returning to the area as fire resources continue working to fully contain the fire. Status Update. Situation Summary. Record Fire [UPDATE] 9/2/24, 7:00 p.m. As of this evening, the Record Fire is now 30% contained, thanks to the tireless efforts of firefighters working throughout the day to strengthen containment lines ...
That is an excellent question! Perimeter = add all sides together P = h + w + h + w P = 6 + 5 + 6 + 8 P = 25 cm 5 cm 6 cm 6 cm 8 cm 6 Learn to music. Perimeter and Area I can calculate perimeter of all objects and area of quadrilaterals. HTML view of the presentation.
Area & Perimeter Triangles: The height is the shortest distance from a base to the opposite vertex height (h) height (h) base (b) base (b) The base of a triangle can be any one of its sides A = ½bh. Area & Perimeter Example 1: Triangles • Find the area of the triangle. A = ½bh • A = ½ (8) (5) A = 20 sq cm. Area & Perimeter Example 2 ...
Presentation Transcript. Area and perimeter The perimeter of a shape is easy to work out. It is just the distance all the way round the edge. If the shape has straight sides, add up the lengths of all the sides. These may be given, or you may need to measure carefully along each of the sides using a ruler. 5 cm 4 cm 3 cm 6 cm 3 cm + 5 cm + 4 cm ...
Area and Perimeter. Area of a Rectangle. Length times Width. A=20 X 12 A=240 cm 2. Length. = 20 cm. width. =12 cm. Area of a Square. A= 6 X 6 A= 36 ft 2. side. 6 feet. ... During download, if you can't get a presentation, the file might be deleted by the publisher. E N D . Presentation Transcript. Area and Perimeter.
An Image/Link below is provided (as is) to download presentation Download Policy: ... What is AREA and PERIMETER? . area - the measurement of the inside of a figure Area = Length x Width Or. 300 views • 7 slides. Area and Perimeter. Area and Perimeter. January 2013 Elementary Coaches Meeting. By PresenterMedia.com. Agenda. 10 min. 15 min ...
Area is the region occupied by a shape. Perimeter is total distance covered by the boundary of a shape. Area is measured in square units (m2, cm2, in2, etc.) Perimeter is measured in units (m, cm, in, feet, etc.) Example: Area of rectangular ground is equal to product of its length and breadth.
Download presentation. Presentation on theme: "Area and Perimeter."—. Presentation transcript: 1 Area and Perimeter. 2 First we need to find he length of each side by counting the squares. 8 cm The distance around the outside of a shape is called the perimeter. 6 cm 6 cm 8 cm The perimeter of the shape is = 28cm.
Area or Perimeter? pdf format. Finding the Perimeter - Take a walk around the edge. Free Clipart. Free Templates. Lots of Lessons - Math. Pete's PowerPoint Station is your destination for free PowerPoint presentations for kids and teachers about Area & Perimeter, and so much more.
Ready to make geometry a breeze for your high schoolers? Grab our latest slideshow template tailored just for teaching the ins and outs of calculating the area and perimeter of rectangles. Perfect for educators aiming to deliver engaging and clear presentations, this set of slides is your go-to for sparking those "aha!" moments in class.
If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
Perimeter, Area, and Volume - Perimeter, Area, and Volume 3102.4.1 Using algebraic expressions solve for measures in geometric figures as well as for perimeter, area, and volume. | PowerPoint PPT presentation | free to view
Area_and_Perimeter.ppt - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. The document provides information and examples on calculating the perimeter and area of various 2D shapes. It begins by showing how to find the perimeter of simple shapes by counting squares. It then introduces area, explaining it as the amount of ...
Area and Perimeter PowerPoint.ppt - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. This document discusses area and perimeter. It provides examples of calculating the area and perimeter of different shapes by counting squares or sides. Area is measured in square units and represents the surface space of a flat object.
10 What you really need to know! The area of a rectangle is the product of the length l and width w. A= L × W. 11 Area = l × w Area = 9 × 5 Area = 45 units2 Length (9 units) Width. 12 Page 272 Guided Practice #'s 3-7. 14 Homework: Page #'s 8-28 even #'s 30-43. 18 Page 579 Lesson 6-8. Download ppt "Geometry: Perimeter and Area".
Understanding Area and Perimeter. Amy Boesen CS255. Perimeter. Perimeter is simply the distance around an object. Everyday applications of perimeter include the distance around a fence or the distance around a pool. To figure out the perimeter of a rectangle, simply add up all the sides.
Triangle. The formulas for calculating the perimeter and area of a triangle ABC are: Perimeter = a + b + c. ⇒ Perimeter = sum of the length of all sides. ⇒ Perimeter = a + b + c. Area = 1 ⁄ 2 × base × height. Square. Perimeter = 4a. ⇒ Perimeter = sum of lengths of all sides.
A perimeter is a path that surrounds an area. The word comes from the Greek peri (around) and. meter (measure). The term may be used either for. the path or its length - it can be thought of as. the length of the outline of a shape. The. perimeter of a circular area is called its. circumference.
Area and Perimeter of a circle depends upon measure of its radius. Perimeter of a circle is generally called its circumference. Following are the formulae to calculate area and perimeter of a circle, Area of a Circle = π×r2. Perimeter of a Circle = 2×π×r. where, π = pi whose value is taken as 22/7 or 3.14 commonly.
KS2 - PERIMETER & AREA PPT. Subject: Mathematics. Age range: 7-11. Resource type: Lesson (complete) File previews. pptx, 152.35 KB. LI - I can understand and work out the area and perimeter of 2D shapes. this is a bit of a revision lesson - discuss what we already know then go over some examples together as a class and finish with a ...