Question

The length of a rectangle is $2$ times its width and the perimeter of the rectangle is $60$ cm. The area of the rectangle is ____.

• A. $100c{m}^2$
• B. $300c{m}^2$
• C. $200c{m}^2$
• D. none of these

Answer 1

The correct option is C $200c{m}^2$

Let length of rectangle = l

breadth = b

l = 2b

Given 2(l+b) = 60

$\Rightarrow l+b=30$ $\Rightarrow 3b=30$ $\Rightarrow b=100$

$l=2\left(10\right)=20cm$

Area of rectangle = $20\times 10$

= 200 sq. cm