Question:
What is the area of a trapezoid with bases of lengths 6 cm and 10 cm, and a height of 5 cm?
What is the area of a trapezoid with bases of lengths 6 cm and 10 cm, and a height of 5 cm?
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The area of a trapezoid is half the sum of the lengths of the two bases multiplied by the height.
Updated On: Oct 4, 2025
- 30 cm\(^2\)
- 35 cm\(^2\)
- 40 cm\(^2\)
- 50 cm\(^2\)
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The Correct Option is C
Solution and Explanation
Use the formula for the area of a trapezoid:
\[
\text{Area} = \frac{1}{2} \times ( \text{base}_1 + \text{base}_2 ) \times \text{height}.
\]
Substitute the given values:
\[
= \frac{1}{2} \times (6 + 10) \times 5 = \frac{1}{2} \times 16 \times 5.
\]
Calculate step-by-step:
\[
= 8 \times 5 = 40.
\]
Therefore, the area of the trapezoid is \(40\).
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