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?
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