The perimeter of a rectangle is 300 mi. If the base is 4 times the height, find the height, base, and area of the rectangle.

Height = 30 mi.

Base = 120 mi.

Area = 3,600 mi^2.

Step-by-step explanation:

Let the height be x then the base = 4x.

The perimeter = 2*base + 2*height

= 2*4x + 2x

= 10x.

10x = 300

x = 30.

So the height is 30 mi and the base = 4*30 = 120 mi.

The area = height * base

= 30 * 120

= 3600 mi^2.