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Use a conversion factor to convert from meters to feet. The area of a trapezoid is one half of the product of its height and the sum of its bases.
approximately 355 square feet
We are told that a trapezoid has base lengths of 3 and 8 meters and a height of 6 meters. Let's see the diagram!
Before we substitute these two values into the formula for the area of a trapezoid, let's convert the meters into feet. Converting between meters and feet will involve using a conversion factor.
| Meters | Conversion | Feet | |
|---|---|---|---|
| Bottom Base | 8 | 8* 3.28 | ≈ 26.24 |
| Top Base | 3 | 3* 3.28 | ≈ 9.84 |
| Height | 6 | 6* 3.28 | ≈ 19.68 |
We found that the bottom base of the trapezoid is about 26.24 feet, the top base is about 9.84 feet, and the height is about 19.68 feet. Now we can substitute these values into the formula for the area of a trapezoid. Let's do it!
The area of the trapezoid is approximately 355 square feet.
Additionally, we have a theorem that tells us about the midsegment of a trapezoid.
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Trapezoid Midsegment Theorem |
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The midsegment of a trapezoid is parallel to each base and it has a measure of one half the sum of the lengths of the bases. |