SOLUTION: The perimeter of a rectangle is 30 inches, and its area is 54 square inches. Find the length of the longest side of the rectangle
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Question 493684: The perimeter of a rectangle is 30 inches, and its area is 54 square inches. Find the length of the longest side of the rectangle Answer by cleomenius(959) (Show Source):
You can put this solution on YOUR website! 2L + 2W = 30
L*W = 54
L = 54/w
Now, we substitute the L into the first equation.
108/w + 2W = 30
108 + 2W^2 = 30w
2w^2 - 30W + 108 = 0
2(W^2 - 15w + 54)
2(w - 6)( w - 9)
Our longest leg is 9, the shortest is 6.
18 inches + 12 inches = 30 inches.
9 inches * 6 inches = 54 inches.
Cleomenius.
