Question

The perimeter of a rectangular wooden deck is 90 feet. The deck's length is 5 feet less than 4 times its width. Write a system of equations to represent this situation.

Answer 1

width = w

length = 4w - 5

perimeter = 90 feet

substitute these values into the formula for perimeter of a rectangle

90ft = 2( w + 4w - 5)

90ft = 2( 5w - 5)

Explanation:

Perimeter of a rectangle = 2(length + width)