SOLUTION: The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 144 cm2, what is the length of the diagonal?

Algebra ->  Rectangles -> SOLUTION: The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 144 cm2, what is the length of the diagonal?       Log On


   

Question 1068225: The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 144 cm2, what is the length of the diagonal?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
system%28w=2L-2%2CwL=144%29

L%282L-2%29=144
2L%5E2-2L-144=0
L%5E2-L-72=0

%28L-9%29%28L%2B8%29=0
highlight%28L=9%29

-
w=2%2A9-2
highlight%28w=16%29
-
The diagonal?
sqrt%2816%5E2%2B9%5E2%29
highlight%28sqrt%28337%29%29