A rectangle has sides of (7+2) feet and (72) feet long. What is the area and the perimeter of the rectangle?

1 Answer
Dec 1, 2015

P=28
A=47

Explanation:

Perimeter:

The rectangle's sides are (7+2),(7+2),(72), and (72).

To find the perimeter, we add all of these to one another:

(7+2)+(7+2)+(72)+(72)

We can rearrange the order to see that the perimeter equals:

7+7+7+7+22+22

Notice that all the square root terms will cancel, and the sevens will add together for a perimeter of 28.

Area:

To find the area of the rectangle, multiply the base length by the height length. We will have to FOIL.

(7+2)(72)=4972+722

Two things: notice that 2×2=2 and that the 72 terms will cancel.

This leaves us with an area of 492 or 47.