https://file.aiquickdraw.com/mathbot/file/172307844970334nidacg.jpg

To find the area of the trapezoid shown in the image, we can use the formula for the area of a trapezoid:

\[ \text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h \]

where:
- \( b_1 \) and \( b_2 \) are the lengths of the two parallel sides (the bases),
- \( h \) is the height (the perpendicular distance between the bases).

From the image:
- \( b_1 = 5 \) feet (top base)
- \( b_2 = 10 \) feet (bottom base)
- \( h = 4 \) feet

Plugging these values into the formula, we get:

\[ \text{Area} = \frac{1}{2} \times (5 + 10) \times 4 \]

\[ \text{Area} = \frac{1}{2} \times 15 \times 4 \]

\[ \text{Area} = \frac{1}{2} \times 60 \]

\[ \text{Area} = 30 \, \text{square feet} \]

So, the area of the trapezoid is 30 square feet.

Would you like more details on the solution or have any questions? Here are some related questions you might find interesting:

1. How do you derive the formula for the area of a trapezoid?
2. What are the properties of a trapezoid?
3. How can the area of a trapezoid be applied in real-life situations?
4. What is the formula for the perimeter of a trapezoid?
5. How would the area change if the height were increased to 6 feet?
6. How would you calculate the area of a trapezoid if the non-parallel sides were given instead of the height?
7. Can the area formula for a trapezoid be used for any other quadrilaterals?
8. What are some examples of trapezoids in architecture and engineering?

**Tip:** When solving problems involving geometric shapes, always make sure to double-check the given measurements and ensure they are in the correct units before performing calculations.

Learn how to calculate the area of a trapezoid with a step-by-step solution. This problem involves geometry and utilizes the formula for the area of a trapezoid. Suitable for students in Grades 7-9.

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