Question

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 ?

Answer 1

height=100feet

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