SOLUTION: The length of rectangle is 5cm less than three times its width. If the area of the rectangle is 22cm^2, find the dimensions of the rectangle.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The length of rectangle is 5cm less than three times its width. If the area of the rectangle is 22cm^2, find the dimensions of the rectangle.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 964519: The length of rectangle is 5cm less than three times its width. If the area of the rectangle is 22cm^2, find the dimensions of the rectangle.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The length of rectangle is 5cm less than three times its width. If the area of the rectangle is 22cm^2, find the dimensions of the rectangle.
-----
width = W
length = 3W-5
------
Area = length*width
22 = W(3W-5)
3W^2 - 5W - 22 = 0
-------
3W^2 - 11W+6W - 22 = 0
W(3W-11)+2(3W-11) = 0
(3W-11)(W+2) = 0
Positive solution:
W = 11/3 = 3 1/3 cm (width)
L = 3(11/3)-5 = 11-5 = 6cm (length)
----------------
Cheers,
Stan H.
--------------