The length of a rectangular plot is 60% more than its breadth. If the difference between the length and the… · ABC26GN4300
Subject: General Aptitude · Chapter: Area
The length of a rectangular plot is 60\% more than its breadth. If the difference between the length and the breadth of that rectangle is 24 cm, what is the area of that rectangle?
(a)2400 sq. cm
(b)2480 sq. cm
(c)2560 sq. cm
(d)Data inadequate
(e)None of these
Answer
No answer key was printed for this question.
Explanation
Let breadth $=x \mathrm{cm}$. Then, length $=\left(\frac{160}{100} x\right) \mathrm{cm}=\frac{8}{5} x \mathrm{cm}$. So, $\frac{8}{5} x-x=24 \Leftrightarrow \frac{3}{5} x=24 \Leftrightarrow x=\left(\frac{24 \times 5}{3}\right)=40$. ∴ Length $=64 \mathrm{cm}$, Breadth $=40 \mathrm{cm}$. Area $=(64 \times 40) \mathrm{cm}^{2}=2560 \mathrm{cm}^{2}$.