Respuesta :
Answer:
The area of the rectangular playroom is 260 feet² .
Step-by-step explanation:
Given:
The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.
Now, to find its area we need the length .
So, putting the formula of perimeter we get it's length:
Let the length be l .
Perimeter = 2( length + width)
[tex]72=2(l+10)[/tex]
[tex]72=2l+20[/tex]
subtracting both sides from 20:
[tex]72-20=2l+20-20[/tex]
[tex]52=2l[/tex]
Dividing both sides by 2:
[tex]52\div2=2l\div2[/tex]
[tex]26=l[/tex]
Length is 26 feet.
And, to get the area we put the formula of finding the area:
[tex]Area=length\times width[/tex]
[tex]Area=26\times 10[/tex]
[tex]Area=260[/tex]
Therefore, the area of the rectangular playroom is 260 feet² .
