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The area of a rectangle is 252 cm2 and its length and breadth are in the ratio of 9 : 7 respectively. What is its perimeter ?
Answer & Solution
Correct Answer:
Option
A
Let the length and breadth of the rectangle be (9x) cm and (7x) cm respectively.
Then,
$$\eqalign{ & 9x \times 7x = 252 \cr & \Rightarrow 63{x^2} = 252 \cr & \Rightarrow {x^2} = 4 \cr & \Rightarrow x = 2 \cr} $$
So, length = 18 cm, breadth = 14 cm
∴ Perimeter :
= 2(18 + 14) cm
= 64 cm
Then,
$$\eqalign{ & 9x \times 7x = 252 \cr & \Rightarrow 63{x^2} = 252 \cr & \Rightarrow {x^2} = 4 \cr & \Rightarrow x = 2 \cr} $$
So, length = 18 cm, breadth = 14 cm
∴ Perimeter :
= 2(18 + 14) cm
= 64 cm
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