Question 325553: the perimeter of a rectangle is 42 inches, and its area is 104 square inches.what is the dimensions of the rectangle?
Answer by AAfter Search(61)   (Show Source):
You can put this solution on YOUR website! Let the length and breadth of the rectangle be x inches and y inches.
Given, 2(x + y) = 42 => x + y = 21 => y = 21 - x
x X y = 104
=> x X (21 - x) = 104
=> 21x - x^2 = 104
=> x^2 - 21x + 104 = 0
=> x^2 - 13x - 8x + 104 = 0
=> x(x - 13) - 8(x - 13) = 0
(x - 8)(x - 13) = 0
x = 8, 13
When x = 8, y = 13;
When x = 13, y = 8
Hence, the length x = 13 inches and breadth y = 8 inches.
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