https://file.aiquickdraw.com/mathbot/file/173081751907870kdy4cm.jpg

To find the area of this trapezoid, let’s break down the information provided in the diagram.

The trapezoid has two parallel sides:
- One side of length \(7 \, \text{cm}\)
- Another shorter parallel side of \(3 \, \text{cm}\)

The height of the trapezoid, shown by the dashed line perpendicular to the bases, is \(12 \, \text{cm}\).

### Area of a Trapezoid
The formula for the area \(A\) of a trapezoid is:
\[
A = \frac{1}{2} \times ( \text{Base}_1 + \text{Base}_2 ) \times \text{Height}
\]

In this case:
- \(\text{Base}_1 = 7 \, \text{cm}\)
- \(\text{Base}_2 = 3 \, \text{cm}\)
- \(\text{Height} = 12 \, \text{cm}\)

Substituting these values into the formula:
\[
A = \frac{1}{2} \times (7 + 3) \times 12
\]
\[
A = \frac{1}{2} \times 10 \times 12
\]
\[
A = 5 \times 12
\]
\[
A = 60 \, \text{cm}^2
\]

### Answer
The area of the trapezoid is **60 cm²**.

Would you like more details, or do you have any questions?

Here are five related questions to explore further:
1. How would the area change if the height increased to 15 cm?
2. What is the perimeter of this trapezoid given all sides?
3. How do you calculate the area of other quadrilateral shapes like parallelograms?
4. Can you find the area if the bases were given in different units (e.g., mm)?
5. How would the area formula change if one base was unknown?

**Tip:** When dealing with trapezoids, always ensure you identify the correct bases and height, as these directly impact the area calculation.

Find the area of a trapezoid with bases of 7 cm and 3 cm and a height of 12 cm. Learn how to apply the trapezoid area formula for accurate calculations. Suitable for students in Grades 6-8.

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