SOLUTION: the length of a rectangle is 8 inches more than its width if 4 inches are taken from the length and added to the with the future becomes the square with an area of 121 square inche

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Question 964272: the length of a rectangle is 8 inches more than its width if 4 inches are taken from the length and added to the with the future becomes the square with an area of 121 square inches what are the dimensions of the original figure
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
W=width; L=length=W+8in
For square: side=W+4
%28W%2B4%29%5E2=A
W%5E2%2B8W%2B16=121in%5E2
W%5E2%2B8W-105in%5E2=0
%28W-7%29%28W%2B15%29=0
W-7=0 or W%2B15=0
W=7 or W=-15
ANSWER 1: The width is 7 inches.
L=W+8in=7in+8in=15 in
ANSWER 2: The length is 15 inches.
CHECK:
%28L-4in%29%28W%2B4in%29=121in%5E2
15in-4in%29%287in%2B4in%29=121in%5E2
%2811in%29%2811in%29=121in%5E2
121in%5E2=121in%5E2