SOLUTION: The width of a rectangle is 11 inches less than its LENGTH. The area is 6 square yards. Find the dimensions of the rectangle.

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Question 878432: The width of a rectangle is 11 inches less than its LENGTH. The area is 6 square yards. Find the dimensions of the rectangle.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The "6p" was assumed to be a mistake, and that "6" was intended.

Use the numbers as inches and then after solving, convert to the units you believe best.

w=-11%2BL and wL=6%2A36%2A36 keeping all units in inches or square inches.
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%28L-11%29L=6%5E5
L%5E2-11L-6%5E5=0
L%5E2-11L-7776=0
discrim, 121+4*7776=31225=25*1249
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L=%2811%2B-+sqrt%2825%2A1249%29%29%2F2
highlight%28L=%2811%2B5sqrt%281249%29%29%2F2%29----one of the dimension, inches.
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w=-11%2B%2811%2B5sqrt%281249%29%29%2F2
w=%28-22%2B11%2B5sqrt%281249%29%29%2F2
highlight%28w=%28-11%2B5sqrt%281249%29%29%2F2%29---other dimension, inches.