# How do you get the area of a trapezoid?

#### Understand the Problem

The question is asking for the formula or method to calculate the area of a trapezoid, which involves using the lengths of its bases and its height.

You use the formula $$A = \frac{1}{2} \times (a + b) \times h$$.

To find the area of a trapezoid, you use the formula ( A = \frac{1}{2} \times (a + b) \times h ). You need the lengths of the two bases and the height.

#### Steps to Solve

1. Identify the lengths of the bases and the height

To calculate the area of a trapezoid, you need the lengths of the two parallel sides (called bases). Let's denote the lengths of these bases as $a$ and $b$, and the height (the perpendicular distance between the bases) as $h$.

1. Use the area formula for a trapezoid

The formula to find the area of a trapezoid is:

$$A = \frac{1}{2} \times (a + b) \times h$$

Substitute the values of $a$, $b$, and $h$ into this formula.

1. Calculate the area

Perform the arithmetic calculations to find the area.

### Example Calculation:

Let's assume $a = 5$ units, $b = 7$ units, and $h = 4$ units.

Step 1: Identify the lengths of the bases and the height.

Step 2: Substitute the values into the formula:

$$A = \frac{1}{2} \times (5 + 7) \times 4$$

Step 3: Calculate the area:

$$A = \frac{1}{2} \times 12 \times 4 = 24 ext{ square units}$$

So, the area of the trapezoid is 24 square units.

To find the area of a trapezoid, you use the formula ( A = \frac{1}{2} \times (a + b) \times h ). You need the lengths of the two bases and the height.