algebra help?

write a function rule for the area of a triangle with a base of 3 cm greater than 5 times its height. what is the area of a triangle when its height is 6 cm?

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The answer is 99 cm²

The area (A) of the triangle with base a and height h is:
A = a h / 2

A base is 3 cm greater than 5 times its height: a = 5h + 3

So, the function is:
A = a
h / 2 = (5h +3) h / 2

If the height is 6 cm:
h = 6

A = (5h +3)
h / 2
A = (5 6 + 3) 6 /2
A = 33 * 3
A = 99 cm²