SOLUTION: the base of a triangle is (2x+3) feet long and the height is (x+3) feet long. If the area of the triangle is 27 square feet, find the base and height of the triangle.

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Question 849: the base of a triangle is (2x+3) feet long and the height is (x+3) feet long. If the area of the triangle is 27 square feet, find the base and height of the triangle.
Answer by prabhjyot(164) About Me  (Show Source):
You can put this solution on YOUR website!
Area of the triangle =1/2 base* height
given base=(2x+3)
height=(x+3)
area=27
putting in the above formulae
27=1/2*(2x+3)*(x+3)
27=1/2*2x^2+6x+9
27*2=2x^2+6x+9
54=2x^2+6x+9
2x^2+6x+9-54=0
2x^2+6x-45=0
finding the value of x
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
putting the values in the above equation we get x=3.475,-6.74
taking the positive value of x
base=2x+3=2*3.475+3=9.95
height=x+3=3.475+3=6.475