SOLUTION: The length of a rectangle is 2ft less than three times the width of the triangle. The area of the rectangle is 65ft2. Find the length and width of the rectangle.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The length of a rectangle is 2ft less than three times the width of the triangle. The area of the rectangle is 65ft2. Find the length and width of the rectangle.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 128323: The length of a rectangle is 2ft less than three times the width of the triangle. The area of the rectangle is 65ft2. Find the length and width of the rectangle.
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
L=3W-2 I'M ASSUMING YOU MEAN THE WIDTH OF THE RECTANGLE NOT THE TRIANGLE(?).
L*W=AREA
(3W-2)W=65
3W^2-2W-65=0
(3W+13)(W-5)=0
W-5=0
W=5 FOR THE WIDTH.
L=3*5-2=15-2=13 FOR THE LENGTH.
PROOF:
5*13=65
65=65