Question

A trapezoid has height h. One base is

4 units shorter than the height. The other
base is 5 times longer than the height.
Write a polynomial for the area of the
trapezoid

Answer 1

`A = 3h^2 - 2h`

Explanation:

First lets find out what each of the bases is

`b_(1) =h -4\\\\\\b_(2) =5h`

Next, we can use the equation for the area of a trapezoid, which is

`A=(b_(1) +b_(2))/(2) h`

Now we can plug in each of the values that we have for the bases and then solve for A.

`A=( h-4 + 5h)/(2)h\\\\A=(6h-4)/(2)h\\\\A = (3h - 2)h\\\\A=3h^2-2h`