Question

The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which equation models this situation?

Answer 1

12 = 1/2(x)(5x - 2)

Bonus solution for x = 2.4 ft

Explanation:

area = 1/2xh

h = 5x - 2

12 = 1/2(x)(5x - 2)

24 = 5x² - 2x

5x² - 2x - 24 = 0

x² - 0.4x - 4.8 = 0

(x - 2.4)(x + 2) = 0

x = 2.4

Answer 2

5x^2 − 2x − 24 = 0

Explanation: