Question

If the length of a rectangle is 4 times the width and the area of the rectangle is 1600 square m, find the width.

Answer 1

20 meters

Step-by-step explanation:

Given that:

• The width of the rectangle = w

We are told that:

Length of the rectangle = 4 times the width

• l=4w

`\text{Area of a rectangle = Length x Width}`

Substituting the given values, we have:

`\begin{gathered} 1600=4w* w \\ 4w^2=1600 \\ w^2=(1600)/(4) \\ w^2=400 \\ w^2=20^2 \\ w=20m \end{gathered}`

The width of the rectangle is 20 meters.