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The function A(b) relates the area of a trapezoid with a given height of 10 and
one base length of 7 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
A(W= 10.577
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the other base?

Respuesta :

JazzGomez25

The function of the trapezoid area is:

A(x)=(B+b)*h/2

Where B and b are the bases and h is the height.

With the given data: h=10 B and b =7 and x (it may vary which one is bigger)

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So that function becomes:

A(x)=(7+x)*10/2

A(x)=(7+x)*5

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So if you want the inverse function, you have to operate to find x:

A(x)/5=7+x

A(x)/5-7=x

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So the new function is:

x(A)=A/5-7

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