https://file.aiquickdraw.com/mathbot/file/17267524471448ubzvaz1.jpg

The shape in the image is a trapezoid, and the task is to find its area. The formula for the area of a trapezoid is:

\[
\text{Area} = \frac{1}{2} \times (a + b) \times h
\]

Where:
- \(a\) and \(b\) are the lengths of the two parallel sides (in this case, 2.2 cm and 4.2 cm),
- \(h\) is the height (2 cm in this case).

Let's calculate the area:

\[
\text{Area} = \frac{1}{2} \times (2.2 \, \text{cm} + 4.2 \, \text{cm}) \times 2 \, \text{cm}
\]
\[
\text{Area} = \frac{1}{2} \times 6.4 \, \text{cm} \times 2 \, \text{cm}
\]
\[
\text{Area} = 6.4 \, \text{cm}^2
\]

So, the area of the trapezoid is **6.4 cm²**.

Would you like more details or have any further questions?

Here are 5 related questions you might want to explore:
1. How can the formula for the area of a trapezoid be derived geometrically?
2. How does changing the height of a trapezoid affect its area?
3. Can the formula for the area of a trapezoid be applied to other quadrilaterals?
4. What happens if the lengths of the non-parallel sides of the trapezoid are increased?
5. How does the area of a parallelogram compare with that of a trapezoid?

**Tip**: When calculating the area of any polygon, make sure to accurately identify and measure its base and height!

Find the area of the trapezoid with base lengths of 2.2 cm and 4.2 cm, and a height of 2 cm.

Learn how to calculate the area of a trapezoid with base lengths of 2.2 cm and 4.2 cm, and a height of 2 cm. The solution includes step-by-step use of the trapezoid area formula. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation