SOLUTION: The length of a rectangle is 9 cm less than twice its width. If the area of the rectangle is 26 cm squared, what is the rectangles dimensions?

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Question 862654: The length of a rectangle is 9 cm less than twice its width. If the area of the rectangle is 26 cm squared, what is the rectangles dimensions?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

A = Lw

26cm^2 = (2w-9cm)w  | length = 9 cm less than twice its width

  2w^2 - 9w - 26 = 0

  (2w -13)(w + 2) = 0   (Tossing out the negative solution for unit measure)

     w = 13/2cm 0r 6.5cm  and L = 4cm    2%2813%2F2%29+-+9

CHECKING our answer***

6.5cm%2A4cm+=+26cm%5E2

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