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Dima020 [189]
3 years ago
15

A trapezoid has height h. One base is

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

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

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