SOLUTION: the width of a rectangule is 3cm less than the length. The area of the recangle is 54cm^2 . Find the Width and length.

Algebra ->  Rectangles -> SOLUTION: the width of a rectangule is 3cm less than the length. The area of the recangle is 54cm^2 . Find the Width and length.      Log On


   

Question 303732: the width of a rectangule is 3cm less than the length. The area of the recangle is 54cm^2 . Find the Width and length.
Answer by london maths tutor(243) About Me  (Show Source):
You can put this solution on YOUR website!
Let's length be L and width be w
w = L - 3
Area = L(L-3) = 54
L(L-3) = 54
L^2 - 3L = 54
L^2 - 3L - 54 = 0
(L-9)(L+6) = 0
L-9 = 0
L = 9 cm
or
L + 6 = 0
L = -6(N/A)
w = L - 3
= 9 - 3
= 6 cm
Answer Length is 9 cm and 6 cm