Question

A rectangle swimming pool was 7 meters wide with a surface area of 49 square meters. What is the length of the pool?

Answer 1

SOLUTION

We are told that the pool is 7 meters wide and the surface area is 49 square-meters. Since the pool is a rectangle, its surface area is the same as the area of a rectangle

$\begin{gathered} \text{Area of a rectangle = length }\times\text{ width} \\ A=l\times w \\ 49=l\times7 \\ since\text{ the area is 49 and the width is 7} \\ 49=7l \\ \text{dividing both sides by 7 } \\ \frac{49}{7}=\frac{7l}{7} \\ l=\frac{49}{7} \\ l=7m \end{gathered}$

Hence the length of the pool is 7 meters