Question

A trapezoid has an area of 184 in^2. The height is 8 in and the length of one base is 16 in. Write and solve an equation to find the length of the other base.

Answer 1

The length of other base is 30 in.

Explanation:

Given:

A trapezoid has an area of 184 in^2. The height is 8 in and the length of one base is 16 in.

Now, to get the length of other base.

Let the length of other base be
`(b).`

Area of trapezoid
`(Area)` = 184 in².

Height of trapezoid (
`h`) = 8 in.

Length of one base (a) = 16 in.

Now, to get the length of other base of trapezoid we solve an equation:

`Area=((a+b))/(2) h`

`184=((16+b))/(2)* 8`

`184=(16+b)* 4`

`184=64+4b`

Subtracting both sides by 64 we get:

`120=4b`

Dividing both sides by 4 we get:

`30=b\\\\b=30\ in.`

Therefore, the length of other base is 30 in.