Question

Write a quadratic equation in factored form to model the given problem. Be sure to write the entire equation.

The height of a triangle is 4 more than the base, and the area of the triangle is 6 square units. Find the length of the base. Let x = the length of the base.

Answer 1

Base= x
Height= 4+x


Area = (1/2)(x)(4+x) = 6

Hence, quadratic equation is,

(x)(8+2x) = 12