Question

The area of the trapezoid is 40 square units.

What is the height of the trapezoid?
6
3 units
5 units
10 units
10
12 units

Answer 1

5 units

Explanation:

Answer 2

5 units

Explanation:

Image of the trapezoid is attached.

To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.

The formula for area of a trapezoid is:

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

Here, a and b represents the bases of the trapezoid.

a = 6

b = 10

h which represents height is unknown.

A = 40

Substitute figures:

`40 = ((6 + 10)/(2)) h`

`40 = ((16)/(2)) h`

`40 = 8 * h`

Solve for h:

`h = (40)/(8)`

`h = 5`

The height of the trapezoid is 5 units