Question

A rectangular playground is 8 meters wide. It is 3 times as long as it is wide.

What is the area of the playground?

Answer 1

Width = 8 m

Length = 3(8) = 24 m

Area = length * width = 8 * 24 = 192 m²

Answer 2

The area of the playground is
`(192)m^(2)`

Explanation:

Given a rectangle with width ''w'' and height ''h'', the area of the rectangle is :

`Area=(w).(h)` (I)

In this exercise, it says that ''It is 3 times as long as it is wide''. Therefore, we can write this using the following equation :

`h=3w` (II)

Replacing (II) in (I) ⇒

`Area=(w).(h)\\Area=(w).(3w)=3(w^(2))`

Replacing the width 8 m in the equation :

`Area=3(w^(2))=3.[(8m)^(2)]=3.(64m^(2))=(192)m^(2)`

We conclude that the area of the playground is
`(192)m^(2)`