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](/Images/Article/Trapezoids(45359).png)
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](/Images/Article/Trapezoids2(1000).png)
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](../Tests/Images/Q_Pic/C_00114Q_0024165.Png)
2)
![Area of Trapezoids1](../Tests/Images/Q_Pic/C_00114Q_0024173.Png)
3)
![Area of Trapezoids2](../Tests/Images/Q_Pic/C_00114Q_0024166.Png)
4)
![Area of Trapezoids3](../Tests/Images/Q_Pic/C_00114Q_0024159.Png)
5)
![Area of Trapezoids4](../Tests/Images/Q_Pic/C_00114Q_0024174.Png)
6)
![Area of Trapezoids5](../Tests/Images/Q_Pic/C_00114Q_0024167.Png)
7)
![Area of Trapezoids6](../Tests/Images/Q_Pic/C_00114Q_0024160.Png)
8)
![Area of Trapezoids7](../Tests/Images/Q_Pic/C_00114Q_0024161.Png)
9)
![Area of Trapezoids8](../Tests/Images/Q_Pic/C_00114Q_0024168.Png)
10)
![Area of Trapezoids9](../Tests/Images/Q_Pic/C_00114Q_0024175.Png)
1) \( \ \color{red}{100 \ m^2} \)
2) \( \ \color{red}{84 \ m^2} \)
![Area of Trapezoids1](../Tests/Images/Q_Pic/C_00114Q_0024173.Png)
3) \( \ \color{red}{117 \ m^2} \)
![Area of Trapezoids2](../Tests/Images/Q_Pic/C_00114Q_0024166.Png)
4) \( \ \color{red}{48 \ m^2} \)
![Area of Trapezoids3](../Tests/Images/Q_Pic/C_00114Q_0024159.Png)
5) \( \ \color{red}{99 \ m^2} \)
![Area of Trapezoids4](../Tests/Images/Q_Pic/C_00114Q_0024174.Png)
6) \( \ \color{red}{126 \ m^2} \)
![Area of Trapezoids5](../Tests/Images/Q_Pic/C_00114Q_0024167.Png)
7) \( \ \color{red}{72 \ m^2} \)
![Area of Trapezoids6](../Tests/Images/Q_Pic/C_00114Q_0024160.Png)
8) \( \ \color{red}{68 \ m^2} \)
![Area of Trapezoids7](../Tests/Images/Q_Pic/C_00114Q_0024161.Png)
9) \( \ \color{red}{135 \ m^2} \)
![Area of Trapezoids8](../Tests/Images/Q_Pic/C_00114Q_0024168.Png)
10) \( \ \color{red}{96 \ m^2} \)
![Area of Trapezoids9](../Tests/Images/Q_Pic/C_00114Q_0024175.Png)
Area of Trapezoids Practice Quiz