Perimeter and Area MATHS - Perimeter and Area

The amount of space inside the boundary of a 2-D shape is:

The length and breadth of a rectangle are 57 cm and 43 cm respectively. Its perimeter is:

The distance around a two-dimensional shape is:

One side of a regular pentagon is 5 cm. Its perimeter is:

Assertion (A): Area of rectangle of length 5 cm and breadth 4 cm is 20 cm2.
Reason (R): Area is the amount of surface enclosed by a figure.

Assertion (A): Perimeter of an equilateral triangle = 2 length of side
Reason (R): Perimeter is the length of the boundary of a shape.

Assertion: The perimeter of a regular pentagon of side 2 units is 10 units.
Reason: The Perimeter is the distance covered around the boundary forming a closed figure when you go around the figure once.
In the given question, a statement of Assertion is followed by a statement of Reason. Choose the correct option as:

Formula for perimeter of rectangle is side + side.

The perimeter of a square whose area is 49 cm² is 28 cm.

1 hectare = 1000 m² (Easy)

If the side of a square is doubled, the perimeter of the square is halved.

The area of a square is 16 sq cm. Its perimeter is _______________ [16 cm/8 cm].

The area of a square is (a × a) sq. cm. Its perimeter is _______________ [4a cm/8a cm].

Perimeter of a square of side 1 cm = _______________

On a page in your book, draw a rectangular border that is 1 cm from the top and bottom and 1.5 cm from the left and right sides. What is the perimeter of the border?

What is the area of Shape A as compared to Shape G? Is it twice as big? Four times as big?
[Hint: In the tangram pieces, by placing the shapes over each other, we can find out that Shapes A and B have the same area, and Shapes C and E have the same area. You would have also figured out that Shape D can be exactly covered using Shapes C and E, which means Shape D has twice the area of Shape C or Shape E, etc.]

Can you draw any inferences from this exercise? Please write it here.

Make a figure with a perimeter of 18 units.

What is the largest perimeter possible?

What is the smallest perimeter possible?

The area of a rectangular garden that is 50 m long is 1000 sq m. Find the width of the garden.

Arrange the two pieces to form a figure with a perimeter of 22 cm.

Can you make other shaped figures for each of the above three perimeters, or is there only one shape with that perimeter? What is your reasoning?

In races, usually, there is a common finish line for all the runners. Here are two square running tracks with an inner track of 100 m on each side and an outer track of 150 m on each side. The common finishing line for both runners is shown by the flags in the figure which are in the center of one of the sides of the tracks. If the total race is 350 m, then we have to find out where the starting positions of the two runners should be on these two tracks so that they both have a common finishing line after they run for 350 m. Mark the starting points of the runner on the inner track as ‘A ’ and the runner on the outer track as ‘B’.

Draw a rectangle of size 12 units × 8 units. Draw another rectangle inside it, without touching the outer rectangle that occupies exactly half the area.

Shape A has an area of 18 square units and Shape B has an area of 20 square units. Shape A has a longer perimeter than Shape B. Draw two such shapes satisfying the given conditions.

A rectangular paper chit of dimension 6 cm × 4 cm is cut as shown into two equal pieces. These two pieces are joined in different ways.


For example, the arrangement a. has a perimeter of 28 cm.
Find out the length of the boundary (i.e., the perimeter) of each of the other arrangements below.

Find various objects from your surroundings that have regular shapes and find their perimeters. Also, generalize your understanding of the perimeter of other regular polygons.

Use your understanding from previous grades to calculate the area of any closed figure using grid paper and-

Q.1. Find the area of the blue triangle BAD.
Q.2. Find the area of the red triangle ABE.

whether the two triangles overlap each other exactly. Do they have the same area?

Akshi and Toshi start running along the rectangular tracks as shown in the figure. Akshi runs along the outer track and completes 5 rounds. Toshi runs along the inner track and completes 7 rounds. Now, they are wondering who ran more. Find out who ran the longer distance.