Question

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

(a) 7 cm (b) 14 cm (c) 49 cm (d) 28 cm

Answer 1

Here, Length of rectangle = 144 cm, Area of square = 84 cm².
Let b be the breadth of the rectangle, then as per the question
Area of rectangle = Area of square
$$\begin{gathered} \Rightarrow 144\times b={84}^2 \\ \Rightarrow b=\frac{84\times 84}{144}=49\mathrm{cm} \end{gathered}$$
Thus, the breadth of the rectangle is 49 cm.
Hence, the correct option is (c).