Which function rule can be used to represent the area of a triangle with a base b 8 in. longer than twice the height h in terms of the height?
((2h+8)*h)/2
To find the function rule that represents the area of a triangle, we need to understand the formula for calculating the area of a triangle. The formula for the area of a triangle is:
Area = (base * height) / 2
Given that the base (b) is 8 inches longer than twice the height (h), we can represent it as:
b = 2h + 8
Substituting this value of base (b) in the area formula, we get:
Area = ((2h + 8) * h) / 2
Simplifying further:
Area = (2h^2 + 8h) / 2
Dividing both terms by 2, the function rule representing the area of the triangle in terms of height (h) is:
Area = h^2 + 4h