Question

Solve for the dimensions of the rectangle. Area=length•widthThe length of a rectangle is twice the width. The area is 50cm2. Find the length and the width.

Answer 1

Let the width be x cm.

Since the length is twice the width, therefore, its length is 2x cm.

The area of the rectangle is

`2x^2cm^2`

Accordingly,

`\begin{gathered} 2x^2=50 \\ x^2=25 \\ x=\pm5 \end{gathered}`

Since width of the rectangle can't be negative,

therefore, its width is 5 cm and length is 10 cm.