The area of a rectangle is 252 cm² and its length and breadth are in the ratio of 9 : 7 respectively. What is… · ABC26GN4307
Subject: General Aptitude · Chapter: Area · Exam: Bank. P.O. 2009
The area of a rectangle is $252 \mathrm{cm}^{2}$ and its length and breadth are in the ratio of 9 : 7 respectively. What is its perimeter?
(a)64 cm
(b)68 cm
(c)96 cm
(d)128 cm
Answer
No answer key was printed for this question.
Explanation
Let the length and breadth of the rectangle be (9x) cm and $(7 x) \mathrm{cm}$ respectively. Then, $9 x \times 7 x=252 \Rightarrow 63 x^{2}=252 \Rightarrow x^{2}=4 \Rightarrow x=2$. So, length = 18 cm, breadth = 14 cm. ∴ Perimeter $=2(18+14) \mathrm{cm}=64 \mathrm{cm}$.