Question

The length of a rectangle is twice its breadth. If its area is 72 sq m, then the breadth of the rectangle is ____.

• A. 12 m
• B. 24 m
• C. 6 m
• D. 72 m

Answer 1

The correct option is C

6 m

Let the breadth of the rectangle be $b$ m.
Given, the length is twice the breadth.
Hence, the length of the rectangle will be $2b$ m.

Area of rectangle $=\text{length}\times \text{breadth}=2b\times b$
$\Rightarrow 72=2b^2$
$\Rightarrow b^2=36$
$\Rightarrow b=\pm 6$

The breadth of the rectangle is 6 m. $(\because \text{length cannot be negative})$