The perimeter of a rectangular wooden deck is 90 feet. The deck's length, l, is 5 feet less than 4 times its width, w.

Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck?

1 answer

Let's use the following system of linear equations to determine the dimensions of the wooden deck:

Equation 1: The perimeter of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width.
Given: P = 90 feet
Substituting the variables, the equation becomes: 90 = 2l + 2w.

Equation 2: The deck's length, l, is 5 feet less than 4 times its width, w.
l = 4w - 5.

Therefore, the system of linear equations that can be used is:
90 = 2l + 2w
l = 4w - 5