SOLUTION: The length of a rectangle is 17 centimeters less than six times its width. Its area is 28 square centimeters. Find the dimensions of the rectangle.

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Question 904047: The length of a rectangle is 17 centimeters less than six times its width. Its area is 28 square centimeters. Find the dimensions of the rectangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

     .

A = Lw

(6x-17)w = 28cm^2

6x^2 - 17w - 28 = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%2817+%2B-+sqrt%28+961+%29%29%2F%2812%29+

x+=+%2817+%2B-+31%29%2F%2812%29+ (Tossing out the negative solution for unit measure)

+x+=+48%2F12 = 4cm, the width.  L is 7cm.  6%2A4-17