SOLUTION: The area of the floor of the rectangular room shown in the figure is 126 square feet. The length of the room is 1 ½ feet longer than the width. Find the length of the room.

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Question 647337: The area of the floor of the rectangular room shown in the figure is 126 square feet. The length of the room is 1 ½ feet longer than the width. Find the length of the room.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,



The lengthhighlight%28L%29 of the room is 1 ½ feet longer than the widthhighlight%28W%29. 

Find the length of the room. 

Question states*** A = 126ft^2

L%2AW+=+126ft%5E2    |  L = W+%2B+1.5

%28W%2B1.5%29%28W%29+=+126ft%5E2

  W^2 + 1.5W - 126 = 0

W+=+%28-1.5+%2B-+sqrt%28+2.25-4%2A1%2A-126+%29%29%2F%282%29+

 W = 10.5ft   (Throwing out the negative solution for unit measure)

 L = 12ft

and..

12ft%2A10.5ft+=+126ft%5E2