Question

The perimeter of one of the rectangular playrooms at Miss Pittypat's Day Care is 72 feet. It's width is 10 feet.

What is its area?

Answer 1

The area of the rectangular playroom is 260 feet² .

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)

`72=2(l+10)`

`72=2l+20`

subtracting both sides from 20:

`72-20=2l+20-20`

`52=2l`

Dividing both sides by 2:

`52/2=2l/2`

`26=l`

Length is 26 feet.

And, to get the area we put the formula of finding the area:

`Area=length* width`

`Area=26* 10`

`Area=260`

Therefore, the area of the rectangular playroom is 260 feet² .