Factoring to solve quadratic equations: Find the value of x as it relates to the triangle.

Question

Area = 600 cm^2 There is a large triangle that is divided by a 90 degree angle in the middle. That 90 degree angle line is "x" and the complete bottom of the large triangle is "2x +2". What is the value of "x"?

I hope this is not too confusing. Please solve and explain what I need to do. Thanks.

Answer 1

That line with the "x" on it is the height of the triangle.
A = 1/2bh
600 = 1/2(2x + 2)(x)
600 = (x + 1)(x)