Page 205 - Touchpad Mathematics_Ver1.0_C5

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\ 19-Nov-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

 The perimeter of a polygon is the sum of the lengths of all its sides.

 Perimeter of a rectangle = 2(Length + Breadth)
 Perimeter of a square = 4 × side

 The area of a plane figure is the space enclosed within its boundary.
 Area of a rectangle = Length × Breadth

 Area of a square = Side × Side

Learning LOGS

1. Find the perimeter of the triangles whose sides are given below.
a. 9 cm, 7 cm, 8 cm b. 14 cm, 18 cm, 21 cm

2. Find the area of the rectangles with the following dimensions:
a. l = 46 cm, b = 8 cm b. l = 18 cm, b = 16 cm

3. Find the length of the rectangle whose:

a. A = 104 sq. cm and b = 8 cm b. A = 102 sq. m and b = 6 m

4. Find the breadth of the rectangle whose:

a. A = 288 sq. cm and l = 16 cm b. A = 52 sq. m and l = 13 m

5. Mayank jogs 5 times around a rectangular park which is 150 m long and 100 m wide.
How much distance does he cover?

6. The floor of a hall is completely covered by 26 carpets, each measuring 4 m by 2 m.
What is the area of the floor of the hall?

7. Which carpet is bigger—one measuring 16 m in length and 12 m in breadth or another

measuring 15 m in length and 13 m in breadth?
8. Which of the following has the greatest area?
a. A rectangle of length 18 m and breadth 8 m

b. A rectangle of length 12 m and breadth 14 m
c. A square of length 13 m
d. All have the same area.

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Perimeter and Area