How to Calculate the Area of Trapezoids

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Area of Trapezoids

A trapezoid’s area is the region encompassed inside the perimeter.

Formula for the Aera of a Trapezoid

A trapezoid’s area, A, is:

$A \ = \ \frac{1}{2} \ h(b_1 \ + \ b_2)$

when $h$ is the height and $b_1$ and $b_2$ are the base lengths.

Trapezoids

Formula for the Aera of a Trapezoid utilizing the Midsegment

A trapezoid’s midsegment is a line segment linking the midpoint of the legs. A midsegment has a length which equals the mean of its $2$ bases, which equals:

$m \ = \ \frac{1}{2} \ (b_1 \ + \ b_2)$

Trapezoids2

A trapezoid’s area, $A$ , utilizing the midsegment’s length is:

$A \ = \ h \times m$

Free printable Worksheets

Exercises for Area of Trapezoids

1)
Area of Trapezoids

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Area of Trapezoids1

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Area of Trapezoids2

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Area of Trapezoids3

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Area of Trapezoids4

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Area of Trapezoids5

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Area of Trapezoids9

Answers

100 m^{2}

$\ \color{red}{100 \ m^2}$
Area of Trapezoids

84 m^{2}

$\ \color{red}{84 \ m^2}$
Area of Trapezoids1

117 m^{2}

$\ \color{red}{117 \ m^2}$
Area of Trapezoids2

48 m^{2}

$\ \color{red}{48 \ m^2}$
Area of Trapezoids3

99 m^{2}

$\ \color{red}{99 \ m^2}$
Area of Trapezoids4

126 m^{2}

$\ \color{red}{126 \ m^2}$
Area of Trapezoids5

72 m^{2}

$\ \color{red}{72 \ m^2}$
Area of Trapezoids6

68 m^{2}

$\ \color{red}{68 \ m^2}$
Area of Trapezoids7

135 m^{2}

$\ \color{red}{135 \ m^2}$
Area of Trapezoids8

10)

96 m^{2}

$\ \color{red}{96 \ m^2}$
Area of Trapezoids9

How to Calculate the Area of Trapezoids