A trapezoid has a height of 6 cm and bases of 8 and 10 cm. What is the area of the trapezoid?

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Answer 1 · 2018-04-06T18:46:12

${54 cm}^{2}$ $"54 cm"^2$

For a trapezoid:

$area = \frac{short side + long side}{2} \cdot length (or height)$ $"area" = ("short side " + " long side")/2 * "length" ("or height")$

So

$area = (\frac{8 cm + 10 cm}{2}) \cdot 6 cm$ $"area" = (("8 cm"+ "10 cm")/2)*"6 cm"$

$= 9 cm \cdot 6 cm$ $= "9 cm" * "6 cm"$

$= {54 cm}^{2}$ $= "54 cm"^2$

Hope it helps!