Trapezoid Area Calculator
How to use this Trapezoid Area Calculator 🤔
- Enter ✎ value for length of base 1 (b1).
- Enter ✎ value for length of base 2 (b2).
- Enter ✎ value for height (h).
- As soon as you enter the required input value(s), the Trapezoid Area is calculated immediately, and displaed in the output section (present under input section).
Calculation
Once you enter the input values in the calculator, the output parameters are calculated.
Examples
The following examples cover how to calcualte the Area when length of base 1, length of base 2, and height are given.
1. What is the Area of Trapezoid whose length of base 1 is 10 units, length of base 2 is 20 units, and height is 5 units?
Answer
Given:
- length of base 1, b1 = 10 units
- length of base 2, b2 = 20 units
- height, h = 5 units
The formula to find the Area of a Trapezoid is:
A = \({\ \dfrac{ h ( b1 + b2 )}{2}\ }\)
Substitute given values in the above formula.
A = \({\ \dfrac{5(10+20)}{2}\ }\)
A = 75 square units
∴ Area, A = 75 square units
2. What is the Area of Trapezoid whose length of base 1 is 1 units, length of base 2 is 3 units, and height is 0.5 units?
Answer
Given:
- length of base 1, b1 = 1 units
- length of base 2, b2 = 3 units
- height, h = 0.5 units
The formula to find the Area of a Trapezoid is:
A = \({\ \dfrac{ h ( b1 + b2 )}{2}\ }\)
Substitute given values in the above formula.
A = \({\ \dfrac{0.5(1+3)}{2}\ }\)
A = 1 square units
∴ Area, A = 1 square units
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"input_values": [
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"examples": [
{
"b1": 10,
"b2": 20,
"h": 5
},
{
"b1": 1,
"b2": 3,
"h": 0.5
}
],
"type": "Calculate",
"title": "Trapezoid Area",
"category": "Geometry",
"shape": "Trapezoid",
"formula_mathjax": "\\({\\ \\dfrac{ h ( b1 + b2 )}{2}\\ }\\)",
"formula": "( h *( b1 + b2 ))/2",
"op_label": "Area",
"output_unit": "square units",
"description": "The Trapezoid Area calculator calculates the area of a trapezoid by taking the lengths of its two bases, and height as inputs.",
"explanation": "The area of a Trapezoid can be calculated using the parallel bases whose lengths are b1, and b2, and the height of the Trapezoid which is the perperdicular distance between the parallel sides.",
"examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Area when length of base 1, length of base 2, and height are given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Area of Trapezoid whose length of base 1 is 10 units, length of base 2 is 20 units, and height is 5 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of base 1, b1 = 10 units<li>length of base 2, b2 = 20 units<li>height, h = 5 units</ul><p>The formula to find the Area of a Trapezoid is:</p><p class=\"tabspace\">A = \\({\\ \\dfrac{ h ( b1 + b2 )}{2}\\ }\\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\({\\ \\dfrac{5(10+20)}{2}\\ }\\)</p><p class=\"tabspace\">A = 75 square units</p><p class=\"tabspace answer\">∴ Area, A = 75 square units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Area of Trapezoid whose length of base 1 is 1 units, length of base 2 is 3 units, and height is 0.5 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of base 1, b1 = 1 units<li>length of base 2, b2 = 3 units<li>height, h = 0.5 units</ul><p>The formula to find the Area of a Trapezoid is:</p><p class=\"tabspace\">A = \\({\\ \\dfrac{ h ( b1 + b2 )}{2}\\ }\\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\({\\ \\dfrac{0.5(1+3)}{2}\\ }\\)</p><p class=\"tabspace\">A = 1 square units</p><p class=\"tabspace answer\">∴ Area, A = 1 square units</p></div>",
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