# A rectangle with perimeter #70# feet has area #300# square feet. What are its dimensions?

##### 1 Answer

Dec 3, 2016

#### Explanation:

Let the length of one side be

Going round the rectangle, the other sides are of lengths:

#35 - x#

#x#

#35 - x#

The area of the rectangle is:

#300 = x(35-x)#

So essentially we are looking for a pair of factors of

Since

So the pairs of factors we need to consider are:

#5 * 60" "# with#" "5+60 = 65#

#10 * 30" "# with#" "10+30 = 40#

#color(blue)(15 * 20)" "# with#" "color(blue)(15+20 = 35)#