Question

The base of a right triangle is 2 inches less than 4 times its height, h. To create a new triangle, the length of the base is increased by 7 inches, and the height is increased by 5 inches. Which function represents the area, f(h), of the new triangle?

Answer 1

see below

Explanation:

Base b = 4h-2

new Base = b+7 =4h+5

new Height = h+5

area = base * height *1/2 = 1/2 * (4h+5)*(h+5)