what is the area in square centimeters of the trapezoid below the height is 6.4 and the base is 12.9 and 8.6
2 answers:
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The area in square centimeters is 68.8.
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Answer:
The area of given trapezoid is 68.8 cm²
Step-by-step explanation:
Given: A trapezoid with height 6.4 cm and parallel base is 12.9 cm and 8.6 cm.
We have to find the area of area of this trapezoid.
Area of trapezoid = ![\frac{1}{2}\times \text{sum of parallel sides}\times height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7Bsum%20of%20parallel%20sides%7D%5Ctimes%20height)
Given : Height = 6.4 cm
and parallel base is 12.9 cm and 8.6 cm.
Substitute, we have,
Area of trapezoid = ![\frac{1}{2}\times (12.9+8.6)\times 6.4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%2812.9%2B8.6%29%5Ctimes%206.4)
Simplify, we have,
Area of trapezoid = ![\frac{1}{2}\times 21.5\times 6.4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2021.5%5Ctimes%206.4)
Area of trapezoid = 68.8 cm²
Thus, The area of given trapezoid is 68.8 cm²
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