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.
Answer
You use the formula \( A = \frac{1}{2} \times (a + b) \times h \).
Answer for screen readers
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
- 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 $h$.
- 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.
- 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.
More Information
The formula for the area of a trapezoid is derived from the concept of calculating the average length of the bases and then multiplying by the height. This is similar to finding the area of a rectangle but adjusted for the slanted sides.
Tips
A common mistake is to confuse the height with the slanted sides. The height is always the perpendicular distance between the bases.