How do you find the area of a trapezoid?

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How do you find the area of a trapezoid?

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Answer 1 · 2018-03-20T23:28:47

$A_{Trapezoid} = \frac{1}{2} (b_{1} + b_{2}) h$ $A_"Trapezoid"=1/2(b_"1"+b_"2")h$

Explanation:

This is always the formula for solving the area of a trapezoid, where $b_{1}$ $b_"1"$ is base 1 and $b_{2}$ $b_"2"$ is base 2.

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If we were to solve for the area of this trapezoid, it would be

$A = \frac{1}{2} (8 + 6) 4$ $A=1/2(8+6)4$
$A = \frac{1}{2} (14) 4$ $A=1/2(14)4$
$A = 7 \cdot 4$ $A=7*4$
$A = 28 {units}^{2}$ $A=28"units"^2$ Remember that area units are always squared

You may also see it written as

$A = \frac{a + b}{2} \cdot h$ $A=(a+b)/2 * h$ , which is still the same thing

Sidenote: You may have noticed that the $7$ $7$ and $5$ $5$ became negligible when solving the area, as these will never be used for area of a trapezoid.

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How do you find the area of a trapezoid?

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