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Trapezoid Area Calculator

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Trapezoid Area Calculator

Trapezoid Area Calculator

To find the area of a trapezoid, simply input the lengths of the two bases and the height. The calculator uses the trapezoid area formula to provide the result in your chosen unit.

The Trapezoid Area Calculator is a helpful tool for calculating the area of a trapezoid, a four-sided shape with one pair of parallel sides called bases.

This calculator simplifies geometry problems, construction planning, and even everyday measurements by quickly calculating the trapezoidal area. Choose your preferred unit and enter the values to get started.

Formula

The area of a trapezoid is calculated using the formula:

Area=12×(Base1+Base2)×Height\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}
Variable Description
Base1\text{Base}_1 Length of the first parallel side
Base2\text{Base}_2 Length of the second parallel side
Height\text{Height} Perpendicular distance between the bases

Solved Examples

Example 1:
Find the area of a trapezoid with Base1=8cm\text{Base}_1 = 8 \, , Base2=12cm\text{Base}_2 = 12 \, \te, and Height=5cm\text{Height} = 5 \, \.

Step Calculation Result
Formula Area=0.5×(Base1+Base2)×Height\text{Area} = 0.5 \times (\text{Base}_1 + \text{Base}_2) \times \
Substitution Area=0.5×(8+12)×5\text{Area} = 0.5 \times (8 + 50cm250 \, \text{cm}^2

Example 2:
Find the area of a trapezoid with Base1=5in\text{Base}_1 = 5 \, \t, Base2=7in\text{Base}_2 = 7 \, \text{, and Height=10in\text{Height} = 10 \, \te.

Step Calculation Result
Formula Area=0.5×(Base1+Base2)×Height\text{Area} = 0.5 \times (\text{Base}_1 + \text{Base}_2) \times \t
Substitution Area=0.5×(5+7)×10\text{Area} = 0.5 \times (5 + 7) \ 60in260 \, \text{in}^2

Applications

  • Architecture and Engineering: Designing trapezoidal structures or objects.
  • Education: Solving geometry problems efficiently.
  • Landscaping and Construction: Calculating areas of trapezoidal plots or spaces.

FAQs

1. What is a trapezoid?
A trapezoid is a four-sided figure with one pair of parallel sides.

2. Can the calculator handle different units?
Yes, it supports various units such as inches, centimeters, meters, and more.

3. What if I don't know the height?
The height is essential for calculating the area. If unknown, it can be determined using other measurements and trigonometric methods.

Calculate the area of a trapezoid easily with the Trapezoid Area Calculator. Enter the base lengths and height to get accurate results in any unit. Perfect for geometry, construction, and education.

 

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