SOLUTION: The area of a rectangle is 27 square feet. The base is 3 more than twice the height

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Question 600366: The area of a rectangle is 27 square feet. The base is 3 more than twice the height
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
I assume you're looking for the rectangle's dimension

base = b
height = h

b = 3 + 2h
Area = b * h
27 = (3 + 2h)*h
27+=+3h+%2B+2h%5E2
2h%5E2+%2B+3h+-+27+=+0
factorize it into:
%282h+%2B+9%29%2A%28h+-+3%29=0
2h + 9 = 0 or h - 3 = 0
2h = -9 or h = 3
h = -9/2 or h = 3

because the height can't be a negative number, so h = 3
b = 3 + 2*3 = 3 + 6 = 9

so the height is 3 ft and the base is 27 ft