the area of a triangle is 105 square feet. the height is two more than four times the base. find the base and height of the triangle

Answer 1

base --- x
height ---- 4x+2

(1/2)(x)(4x+2) = 105
x(2x+1) = 105
2x^2 + x - 105 = 0
(x-7)(2x + 15) = 0
x = 7 or x is a negative

x = 7

base is 7 , height = 30

check:
(1/2)(7)(30) = 105