Question

Find the height of the trapezoid, given its bases measure 6 in and 12 in and the area is equal to 63in^2

Answer 1

Given:

• Length of bases of the trapezoid:

a = 6 in

b = 12 in

• Area of trapezoid = 63 in²

Let's find the height of the trapezoid.

To find the height of the trapezoid, apply the formula for the area of a trapezoid:

`A=(a+b)/(2)*h`

Where:

A is the area

a and b are the bases

h is the height.

Rewrite the formula for h:

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

Now, plug in the values and solve for the height, h:

`\begin{gathered} h=(2*63)/(6+12) \\ \\ h=(126)/(18) \\ \\ h=7\text{ in} \end{gathered}`

Therefore, the height of the trapezoid is 7 inches.

ANSWER:

b. 7 in