Question

The formula for the area of a trapezoid with altitude k and bases m and n is . A=k/2 (m+n) solve for m..

Answer 1

`m=A*(2)/(k)-n`

Explanation:

Given : The formula for the area of a trapezoid with altitude k and bases m and n is
`A=(k)/(2)(m+n)`

We have solve for m .

Consider the given formula
`A=(k)/(2)(m+n)`

Multiply both side by
`(2)/(k)`, we have,

`A*(2)/(k)=m+n`

Now subtract n both side, we have,

`A*(2)/(k)-n=m`

Thus,
`m=A*(2)/(k)-n`

Answer 2

When solving for m we get
`m=(2A)/(k)-n`

Explanation:

Given: Formula for Area of trapezoid,
`A\:=\:(k)/(2)(m+n)`

k is height of the trapezoid and m & n are bases of trapezoid.

We have to solve the formula for m.

Consider the formula,

`A=(k)/(2)(m+n)`

`A*(2)/(k)=m+n`

`(2A)/(k)=m+n`

`(2A)/(k)-n=m`

`m=(2A)/(k)-n`

Therefore, When solving for m we get
`m=(2A)/(k)-n`