Subject: General Aptitude · Chapter: Area · Exam: 2009 · Marks: · Difficulty:
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
Answer (as printed):
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 $=2(18+14) \mathrm{cm}=64 \mathrm{cm}$.