SOLUTION: A yard has an area of 54 square inches and a perimeter of 42 inches. Find the length and width of the yard.

Question 384308: A yard has an area of 54 square inches and a perimeter of 42 inches. Find the length and width of the yard.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
We have
xy = 54, and
2(x + y) = 42 --> x + y = 21
This is a fairly easy case, as guess and check shows the dimensions to be 18 in. and 3 in. However if the values didn't reveal an obvious answer, you could solve it by defining a quadratic polynomial using Vieta's formulas (relating to the sum and product of roots).
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