Question

SOLUTION
What is the area of the trapezoid shown? Show your work.

Answer 1

36

Explanation:

To find the area of a trapezoid we will use the following formula

A = 1/2(b1 + b2)h

Lets substitute in 3 for base1, 6 for base2, and 8 for the height of the trapezoid

A = 1/2(3 + 6)8

Now, add the value of the bases together

A = 1/2(9)8

Then Multiply the bases value by 1/2

A = 4.5(8)

Finally, we multiply our value by 8, the height

A = 36

Which brings us to our answer, 36.

Answer 2

The area of the trapezoid is 50 square units.

The area of a trapezoid can be found using the formula:

Area = (
`(1)/(2)`) * (sum of the lengths of the parallel sides) * (height)

To find the area of the trapezoid, we need the lengths of the parallel sides and the height.

Let's say the lengths of the parallel sides are a and b, and the height is h.

So, the formula becomes:

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

Now, let's apply this formula to the given trapezoid.

First, identify the lengths of the parallel sides. Let's assume one side is 8 units long and the other side is 12 units long.

Next, determine the height of the trapezoid. The height is the perpendicular distance between the parallel sides. Measure this distance, and let's say it is 5 units.

Now we have all the information we need. We can plug in the values into the formula to find the area.

Area = (
`(1)/(2)`) * (8 + 12) * 5

Simplifying the equation:

Area = (
`(1)/(2)`) * 20 * 5

Area = 10 * 5

Area = 50 square units