Question

A trapezoid has height h. One base is

Answer 1

Answer:

$A = 3h^2 - 2h$

Step-by-step 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

$A=\frac{b_{1} +b_{2}}{2} h$

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

$A=\frac{ h-4 + 5h}{2}h\\\\A=\frac{6h-4}{2}h\\\\A = (3h - 2)h\\\\A=3h^2-2h$