Question

Mark the correct alternative in the following question:

The area of a rectangle is 650 cm² and its breadth is 13 cm. The perimeter of the rectangle is

(a) 63 cm (b) 130 cm (c) 100 cm (d) 126 cm

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{have}, \\ \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{rectangle}=650{\mathrm{cm}}^2\mathrm{and} \\ \mathrm{Breadth}\mathrm{of}\mathrm{the}\mathrm{rectangle}=13\mathrm{cm} \\ \mathrm{As},\mathrm{length}\mathrm{of}\mathrm{the}\mathrm{rectangle}=\frac{\mathrm{Area}}{\mathrm{Breadth}} \\ =\frac{650}{13} \\ =50\mathrm{cm} \\ \mathrm{So},\mathrm{the}\mathrm{perimeter}\mathrm{of}\mathrm{the}\mathrm{rectangle}=2\times \left(\mathrm{length}+\mathrm{breadth}\right) \\ =2\times \left(13+50\right) \\ =2\times 63 \\ =126\mathrm{cm} \end{gathered}$$

Hence, the correct alternative is option (d).