# ISEE Lower Level Math : How to find the area of a trapezoid

## Example Questions

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### Example Question #1 : Trapezoids

Calculate the area of the trapezoid:

Explanation:

Break the figure into a rectangle and a triangle.  Use the dotted line as a guide. The rectangle has a length of 8 and a width of 6. The triangle has a base of 6 and width of 6.

Area of the rectangle:

Area of the triangle:

### Example Question #2 : Trapezoids

Find the area of the trapezoid:

Explanation:

### Example Question #3 : Trapezoids

Figure not drawn to scale

Find the area of the trapezoid.

Explanation:

In order to find the area of the trapezoid, we must follow the formula below:

One of the bases of the trapezoid

The other base of the trapezoid

The height of the trapezoid

In this question, , and

By following the formula and order of operations, we are able to solve the problem. The area of the trapezoid is 72 in.2

### Example Question #4 : Trapezoids

A trapezoid has two bases measuring  and , and a height measuring

What is its area?

Explanation:

To find the area of a trapezoid, use this formula: .

Use the information from the question to solve.

The area is .

### Example Question #5 : Trapezoids

In a trapezoid, the top base is equal to 5 and the bottom base is equal to 11. It has a height of 6. What is the area?

Explanation:

The area of a trapezoid is equal to the sum of the bases, divided by 2, and then multiplied by the height:

### Example Question #6 : Trapezoids

A trapezoid's bases are  and  long.  It's height is .  What is the area of this trapezoid?

Explanation:

The formula to calculate the area of a trapezoid is:

### Example Question #7 : Trapezoids

Find the area of a trapezoid whose bases are  and  and height is .

Explanation:

To solve, simply use the formula for the area of a trapezoid. Thus,

### Example Question #8 : Trapezoids

Find the area of a trapezoid with bases  and , and height .

Explanation:

To solve, simply use the formula for the area of a trapezoid. Thus,

### Example Question #9 : Trapezoids

Find the area of the trapezoid.

Explanation:

Recall the formula for finding the area of a trapezoid:

Now, plug in the values for the bases and the height to find the area.

### Example Question #10 : Trapezoids

Find the area of the trapezoid.