SOLUTION: The length of a rectangle is 6 cm less than twice the width. The area of the rectangle is 108 cm2. Find the length and width of the rectangle.

Question 436885: The length of a rectangle is 6 cm less than twice the width. The area of the rectangle is 108 cm2. Find the length and width of the rectangle.
Answer by unreal4evr(11) (Show Source): You can put this solution on YOUR website!
A = L * W
108 cm2 = L * W
L = 2W - 6 cm
108 cm2 = (2W - 6 cm) * W
108 cm2 = (2W^2 - 6W)
2W^2 - 6W - 108 cm2 = 0
(W + 6)(2W - 18)
W = -6 cm or W = 9 cm (use 9)
L = 2(9 cm) - 6 cm
L = 12 cm

//Check
108 cm2 = 12 cm * 9 cm
108 cm2 = 108 cm2

L = 12 cm W = 9 cm

RELATED QUESTIONS
the length of a rectangle is 6 cm less than twice its width. find the dimintions of the... (answered by TutorDelphia)

The length of a rectangle is 6 cm less than twice its width. Find the dimensions of the... (answered by checkley77)

The length of a rectangle is 8 cm less than twice the width. The area of the rectangle is (answered by jorel1380)

The length of a rectangle is 4 cm less than twice the width. If the area is 240 cm2, what (answered by ewatrrr)

The length of a rectangle is 6 cm more than the width. The area is 11 cm2. Find the... (answered by sofiyac)

the width of a rectangle is 6 feet less than twice its length. If its area is 108 square... (answered by TimothyLamb,srinivas.g)

Length of a rectangle is 6 inches less than twice the width if the area of the rectangle... (answered by ewatrrr)

I am asking this question to compare it with another question: "The length of a rectangle (answered by drk)

30. The area of a rectangle is 108 cm2. The ratio of the width to the length is 3: 4.... (answered by richwmiller)