Page 215 - Math Genius C5

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\ 08-Oct-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

Chapter assessment

1. Tick () the correct option.

( a) If the area of a square is 100 sq. units, then what is its perimeter?
(i ) 10 units (ii ) 10 sq. units (iii ) 40 units (iv) 40 sq. units

( b) If eight squares, each with a perimeter of four units, are combined side to side to
form a rectangle with a length of four units, what is the perimeter of the newly
formed rectangle?
(i ) 32 units (ii ) 36 units (iii ) 16 units (iv) 12 units

( c) The difference of the length and the width of a rectangle is 8 cm and the perimeter
is 64 cm. Which of the following can be the dimensions of the rectangle?
(i ) L = 12 cm, B = 4 cm (ii ) L = 20 cm, B = 12 cm

(iii ) L = 10 cm, B = 2 cm (iv) L = 20 cm, B = 8 cm

( d) Find the area of the shaded portion if each square’s area is 1 sq m.
(i ) 21 sq. m (ii ) 35 sq. m

(iii ) 34 sq. m (iv) 13 sq. m

2. How many square carpets of side 40 cm are required to cover a floor
with dimensions 16 m by 10 m?
3. The length of a rectangular park is 140 m and its breadth is 80 m. What is the
perimeter of the park? Three rounds of barbed wire are needed to fence the park.
Find the cost of fencing the park if the barbed wire costs `2 per metre.
COmPETEnCy BASEd QuESTIOn

4. Kareem has a garden measuring 340 m by 80 m. He wants to divide the garden into
square flower beds of side 8 m. How many flower beds can be formed?
5. Find the cost of painting four walls of a room if each room is 4 m high and each side
of the room is 6 m long. The cost of painting is `10 per sq. m.
6. Find the perimeter and area of the following figure.

A 5 cm B

5 cm
9 cm
C D
L K
3 cm

7 cm
E F
J I
9 cm
3 cm
H G
3 cm

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