The perimeter of a rectangle is 500 feet. The ratio of the base and height is 3:2. What is the measure of the height?

height=100feet

Step-by-step explanation:

perimeter of a rectangle=p=500 feet

p=2a+2b equation 1

a=height

b=base

we have: b/a=3/2

so a = (2*b) / 3

in equation 1 we have:

500=2 * ((2*b) / 3) + 2*b

so we have

500 = (4*b) / 3 + 2*b

500 = (4b+6b) / 3

500 = (10b) / 3

500*3=10b

b = (500*3) / 10

b=150 feet = base

so

a = (2*150) / 3=100 feet = height