Question

Area (pic included*) Explain why !!

Answer 1

B.
`A(h) =3h^3 -h`

Explanation:

Given is the figure of a trapezoid with following descriptions.

`b_1=2h^2 +2`

`b_2 =2h^2 +2+ 2h^2-6=4h^2 - 4`

`height = h`

Now, by formula of area of trapezoid, we have:

`A(h) =(1)/(2) (b_1+b_2)h`

`A(h) =(1)/(2) (2h^2 +2+4h^2 - 4)h`

`A(h) =(1)/(2) (6h^2 -2)h`

`A(h) =(1)/(2) (6h^3 -2h)`

`A(h) =(1)/(2) * 2(3h^3 -h)`

`A(h) =(3h^3 -h)`

`A(h) =3h^3 -h`