The height of a right triangle is 2 feet more than twice the

The height of a right triangle is 2 feet more than twice the length of its base. Express the area of the triangle as a function of the length of its base, x, in feet. f(x)=?

Solution

height of a right triangle is 2 feet more than twice the length of its base

Lets assume base = x feet

Height = (2x +2)

So, Area of triangle = (1/2)(base)*(height) = (1/2)(x*(2x+2)

f(x) = x(x+2)