Question

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

Answer 1

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)

$72=2(l+10)$

$72=2l+20$

subtracting both sides from 20:

$72-20=2l+20-20$

$52=2l$

Dividing both sides by 2:

$52\div2=2l\div2$

$26=l$

Length is 26 feet.

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

$Area=length\times width$

$Area=26\times 10$

$Area=260$

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