Problema Solution

A triangle has a base b that is 8 inches longer than twice the height h. Which function rule can be used to represent the area of the triangle in terms of the height?

Answer provided by our tutors

The base b is 8 inches longer than twice the height h:

b = 8 + 2h

The area of the triangle is calculated by the formula:

A = (1/2)bh

Plug b = 8 + 2h into A = (1/2)bh:

A = (1/2)(8 + 2h)*h

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A = (h + 2)^2 - 4

The equation of the area of the triangle in terms of the height is A = (h + 2)^2 - 4.