#### Answer

A=$\frac{3}{2}$h +$\frac{5}{2}$$h^{2}$, 99c

#### Work Step by Step

Based on the triangle area rule , the function rule should be A= hb/2 and since the base is 3 cm greater than 5 times of height , so base should be b=3h+5 and when we later put base function in triangle area rule we can get A=$\frac{3}{2}$h +$\frac{5}{2}$$h^{2}$, and when height is 6 cm , we could get 99 A=$\frac{3}{2}$h +$\frac{5}{2}$$h^{2}$