SOLUTION: The area of a rectangle is 91 square inches. Its length is 1 inch less than twice its width. What is its length?

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Question 624028: The area of a rectangle is 91 square inches. Its length is 1 inch less than twice its width. What is its length?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

The area of a rectangle is 91 square inches. 

Its length is 1 inch less than twice its widthhighlight%28x%29  

Question states***

 x(2x-1) = 91 in^2

  2x^2 - x - 91 = 0

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

x+=+%281+%2B-+sqrt%28+729%29%29%2F%284%29+ 

x+=+%281+%2B-+27%29%2F%284%29+ 

     x = 28/4 = 7", throwing out negative solution for unit measure, length is 13"

and

CHECKING our Answer***

 (7")(13") = 91 in^2