SOLUTION: A rectangle has a length of 23 yards less than 4 times its width. If the area of the rectangle is 3131 square yards, find the length of the rectangle. ____yards

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Question 1134806: A rectangle has a length of 23 yards less than 4 times its width. If the area of the rectangle is
3131 square yards, find the length of the rectangle.

____yards
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
How many square yards?

Dimensions x and 4x-23;
x%284x-23%29=3131
-
4x%5E2-23x-3131=0
x=%2823%2B-+sqrt%2823%5E2%2B4%2A4%2A3131%29%29%2F8
x=%2823%2Bsqrt%28discriminant%29%29%2F8
x=%2823%2B225%29%2F8
.
highlight%28x=31%29
and
highlight%284x-23=101%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


If an algebraic solution is not required, simply recognize that 3131 = 31*101; then check to verify that 101 is 23 less than 4 times 31, making 31 and 101 the dimensions of the rectangle.