Question

The area of a rectangle 144 m long is the same as that of a square of side 84 m. The width of the rectangle is

(a) 7 m
(b) 14 m
(c) 49 m
(d) none of these

Answer 1

(c) 49 m

Let the width of the rectangle be x m.

Given:
Area of the rectangle = Area of the square
⇒ Length × Width = Side × Side
⇒ (144 × x) = 84 × 84
∴ Width (x) = $\left(\frac{84\times 84}{144}\right)$ m = 49 m
Hence, width of the rectangle is 49 m.