SOLUTION: The perimeter of a rectangle is 40 inches, and the area is 84 square inches. Find the length and width of the rectangle.

Question 883362: The perimeter of a rectangle is 40 inches, and the area is 84 square inches. Find the length and width of the rectangle.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x and y dimensions.
Perimeter,2x+2y=40 simplifiable to x+y=20.
Area, xy=84.

Use substitution.
.
.

.

Discriminant:
Continue in the general solution for a quadratic equation:
, guessing that the PLUS form should work and not the MINUS form.

; but actually, either PLUS or MINUS form would work. One way would give 14 as found, and the other would give 6.
The dimensions are 14 and 6

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