Question

A triangular-shaped wall has a base of 2x + 4 and a height of x + 3. The area of the triangle is 56 in.2. What is the value of x?

Answer 1

x = 5 inches

Explanation:

The area of a triangle is = (1/2) (base)(height)

base = (2x+4)

height = (x+3)

(1/2)(2x+4)(x+3) = 56 in^2

(1/2)*(2x^2 + 10x + 12) = 56 in^2

x^2 + 5x + 6 = 56 in^2

x^2 + 5x -50 = 0

(x+10)(x-5) = 0

Solutions are -10 and 5 inches

Assuming the triangle is in Earth's dimensional framework, we'll go with x = 5 inches