Question

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 1

The correct option is C

2560 sq.cm

Let breadth = `x' cm. Then length = $\left(\frac{160}{100}x\right)$ cm= $\frac{8}{5}x$cm So, $\frac{8}{5}x-x=24\iff x=\left(\frac{24\times 5}{3}\right)=40$ $\therefore$Length = 64 cm, Breadth = 40 cm Area = (64 $\times$ 40) cm${}^2$ = 2560 cm${}^2$