# The length of a rectangle is twice its width. If the perimeter of the rectangle is 60m, how do you find its area?

Jul 30, 2018

$200 {m}^{2}$

#### Explanation:

Let $x$ be the width of the rectangle
Then $2 x$ is the length of the rectangle

The perimeter of the rectangle is equal to $2 \times \text{length"+2times"width}$

ie $2 \left(2 x\right) + 2 \left(x\right) = 60$ (Perimeter of rectangle is $60$)

$4 x + 2 x = 60$
$6 x = 60$
$x = 10$

That means that the width of the rectangle is $10$ and the length of the rectangle is $20$.

The area of the rectangle is equal to $\text{length"times"width} = 10 \times 20 = 200$