SOLUTION: The area of a rectangle is 40sqaure inches the boarder around the rectangle is 26 inches what is the length and width of the rectangle

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Question 891019: The area of a rectangle is 40sqaure inches the boarder around the rectangle is 26 inches what is the length and width of the rectangle

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
"border around" is perimeter.

w for width
L for length
wL=40 and 2w%2B2L=26
Some simplification and then substitution:
w%2BL=13
L=13-w
-
w%2813-w%29=40
-w%5E2%2B13w=40
w%5E2-13w=-40
w%5E2-13w%2B40=0
Discriminant is 169-4%2A40=169-160=highlight_green%289%29
w=%2813%2B-+3%29%2F2
w=8 or w=5

In this case, either dimension is 5 and the other dimension is 8.