The height of a triangle is 4 feet more than 3 times the base. If the area is 112 ft find the base and height of the triangle

Step-by-step explanation:

let base be x ft. then the height is 3x+4

base = 8 , height = 28

Step-by-step explanation:

Let base be = b

Given:

                             height is 3times base = 3b

        Also 4 feet more than 3 times base = 3b + 4

                           Area = 112 square feet

The quadratic equation with a = 3 , x = 4 , c = -224

Therefore ,

Since base can't be negative base = 8 ft

Therefore , height = 3b + 4 = 3(8) + 4 = 24 + 4 = 28