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

Answer:

The length of other base is 30 in.

Step-by-step 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:

$Area=\frac{(a+b)}{2} h$

$184=\frac{(16+b)}{2}\times 8$

$184=(16+b)\times 4$

$184=64+4b$

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.