For this case we have that by definition, the area of a triangle is given by:
[tex]A = \frac {1} {2} * b * h[/tex]
Where:
h: It's the height of the triangle
b: It is the base of the triangle.
They tell us that the height of the triangle is 3 units more than the base. That means that if the base is "b" then the height is "b + 3". So, the area is:
[tex]A(b) = \frac {1} {2} * b * (b + 3)\\A(b) = \frac {1} {2} * b ^ 2 + 3b\\A(b) = \frac {b ^ 2 + 3b} {2}[/tex]
ANswer:
Option C
