SOLUTION: the length of a rectangular garden is 6 feet longer than its width if the area of the garden is 55 square feet find the dimensions

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the length of a rectangular garden is 6 feet longer than its width if the area of the garden is 55 square feet find the dimensions      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 967577: the length of a rectangular garden is 6 feet longer than its width if the area of the garden is 55 square feet find the dimensions
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
W=width; L=length=W+6ft; A=area=55 sq ft
WL=A Substitute for L.
W%28W%2B6ft%29=55ft%5E2
W%5E2%2B6W=55ft%5E2 Subtract 55 sq ft from each side.
W%5E2%2B6W-55ft%5E2
%28W%2B11%29%28W-5%29=0
W%2B11=0 OR W-5=0
W=-11 OR W=5
ANSWER 1: The width is 5 feet.
L=W%2B6ft
L=5ft%2B6ft
L=11ft
ANSWER 2: The length is 11 feet.