SOLUTION: the height of a triangle is 2 more than twice the base. the area is 20 square feet. find the base.

Question 116398: the height of a triangle is 2 more than twice the base. the area is 20 square feet. find the base.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the height of a triangle is 2 more than twice the base. the area is 20 square feet. find the base.
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Area = (1/2)(base)(height)
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20 = 1/2 (x)(2x+2)
40 = 2x^2+2x
20 = x^2+x
x^2+x-20 = 0
(x-5)(x+4) = 0
x = 5 or x=-4
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Only x=5 ft. is a possible answer for the base:
Then height = 2*5+2 = 12 ft.
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Cheers,
Stan H.
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