How to Calculate the Area of Trapezoids

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

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1) \( \ \color{red}{100 \ m^2} \)
Area of Trapezoids
2) \( \ \color{red}{84 \ m^2} \)
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3) \( \ \color{red}{117 \ m^2} \)
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4) \( \ \color{red}{48 \ m^2} \)
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5) \( \ \color{red}{99 \ m^2} \)
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6) \( \ \color{red}{126 \ m^2} \)
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7) \( \ \color{red}{72 \ m^2} \)
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8) \( \ \color{red}{68 \ m^2} \)
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9) \( \ \color{red}{135 \ m^2} \)
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10) \( \ \color{red}{96 \ m^2} \)
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Area of Trapezoids Practice Quiz