Answer:
The area of the playground is [tex](192)m^{2}[/tex]
Step-by-step explanation:
Given a rectangle with width ''w'' and height ''h'', the area of the rectangle is :
[tex]Area=(w).(h)[/tex] (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 :
[tex]h=3w[/tex] (II)
Replacing (II) in (I) ⇒
[tex]Area=(w).(h)\\Area=(w).(3w)=3(w^{2})[/tex]
Replacing the width 8 m in the equation :
[tex]Area=3(w^{2})=3.[(8m)^{2}]=3.(64m^{2})=(192)m^{2}[/tex]
We conclude that the area of the playground is [tex](192)m^{2}[/tex]
