The base and the height of a rectangle are represented by the expressions below.

Base=x+4 Height=x-6

The perimeter of the rectangle 88 units. Find the lengths of the base and the height of the rectangle.

The length of the base is 27 and the length of the height is 17.

To find the answer, you need to add up each side twice and set it equal to 88.

x-6+x-6+x+4+x+4=88

That is equal to: 4x - 4 = 88

Add 4 to both sides: 4x = 92

Divide by 4: x = 23

Now plug 23 in for x:

Base: 23 + 4 = 27

Height: 23-6=17