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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 Click here to see ALL problems on Geometry Word Problems 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)   (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 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