SOLUTION: 2. 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. What is the system of linear equations that can be used to

Algebra ->  Equations -> SOLUTION: 2. 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. What is the system of linear equations that can be used to      Log On


   



Question 1205429: 2. 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. What is the system of linear equations that can be used to determine the dimensions, in feet, of the wooden deck?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The perimeter of a rectangular wooden deck is 90 feet,
P=2%28L%2BW%29
90=2%28L%2BW%29...eq.1
if the deck's length, L, is 5+feet less than 4 times its width, W, we have
L=4W-5...eq.2, substitute in eq.1
90=2%284W-5%2BW%29...eq.1
45=%285W-5%29
45%2B5=5W
50=5W
W=10

go to

L=4W-5...eq.2, substitute W
L=4%2A10-5
L=40-5
L=35

the dimensions of the wooden deck are:
the length is 35ft
the width is 10ft