SOLUTION: The width of an 18-sq rectangle is 5cm shorter than twice the length please symbolize and solve the rectangles dimensions

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Question 1055821: The width of an 18-sq rectangle is 5cm shorter than twice the length please symbolize and solve the rectangles dimensions
Answer by ikleyn(52778) About Me  (Show Source):
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The width of an 18-sq rectangle is 5 cm shorter than twice the length please symbolize and solve the rectangles dimensions
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W*L = 18.

W = 2L - 5.

====> (2L-5)*L = 18.

2L^2 - 5L - 18 = 0.


L%5B1%2C2%5D = %285+%2B-+sqrt%285%5E2+-+4%2A2%2A%28-18%29%29%29%2F%282%2A2%29 = %285+%2B-+13%29%2F4.


The only positive root is L = 4.5.

Answer. The dimensions of the rectangle are 4.5 cm and  2*4.5-5 = 4 cm.