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:
20 meters
Explanation:
Given that:
• The width of the rectangle = w
We are told that:
Length of the rectangle = 4 times the width
• l=4w
[tex]\text{Area of a rectangle = Length x Width}[/tex]Substituting the given values, we have:
[tex]\begin{gathered} 1600=4w\times w \\ 4w^2=1600 \\ w^2=\frac{1600}{4} \\ w^2=400 \\ w^2=20^2 \\ w=20m \end{gathered}[/tex]The width of the rectangle is 20 meters.