Question

Question #d2ca6

Answer 1

`b= (2A)/9-35 = 2/9 A-35`

Explanation:

The formula for the area of a trapezois is `A=((b_1+b_2)h)/2`,

where `b_1` and `b_2` are the lengths of the bases and `h` is the height.

In this example,

`A=(9(b+35))/2`, find `b`

`2*A=(9(b+35))/cancel2 *cancel2color(white)(aaa)`Multiply both sides by 2

`2A=9(b+35)`

`(2A)/9=(cancel9(b+35))/cancel9color(white)(aaa)`Divide both sides by 9

`(2A)/9color(white)(aa)=b+35`

`color(white)(a)-35color(white)(aaa)-35color(white)(aaa)`Subtract 35 from both sides

`(2A)/9-35=b`

This can also be written as `b= 2/9 A -35`