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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

Respuesta :

19allenethm

Answer:

[tex]A = 3h^2 - 2h[/tex]

Step-by-step explanation:

First lets find out what each of the bases is

[tex]b_{1} =h -4\\\\\\b_{2} =5h[/tex]

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

[tex]A=\frac{b_{1} +b_{2}}{2} h[/tex]

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

[tex]A=\frac{ h-4 + 5h}{2}h\\\\A=\frac{6h-4}{2}h\\\\A = (3h - 2)h\\\\A=3h^2-2h[/tex]

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