the height of a triangle is four feet greater than four times its base.

Question

the height of a triangle is 4 feet greater than four times its base. the area of the trianlge is 84ft2. What is the height of the triangle?

Answer 1

Let base is x.

Height, h = 4x+4

A = bh

    = x(4x+4)

x(4x+4) = 84

x(x+1) = 21

x^2+x-21 =0

Solve the equation.

x = 4.11 ft

h =(4*4.11+4)=20.44 ft