Quadrilateral Area Calculator
How to use this Quadrilateral Area Calculator 🤔
- Enter ✎ value for diagonal (d).
- Enter ✎ value for height 1 (h_1).
- Enter ✎ value for height 2 (h_2).
- As soon as you enter the required input value(s), the Quadrilateral 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 diagonal, height 1, and height 2 are given.
1. What is the Area of Quadrilateral whose diagonal is 20 units, height 1 is 5 units, and height 2 is 10 units?
Answer
Given:
- diagonal, d = 20 units
- height 1, h_1 = 5 units
- height 2, h_2 = 10 units
The formula to find the Area of a Quadrilateral is:
A = \( \frac{ d ( h_1 + h_2 )}{2} \)
Substitute given values in the above formula.
A = \( \frac{20\times (5+10)}{2} \)
A = 150 square units
∴ Area, A = 150 square units
2. What is the Area of Quadrilateral whose diagonal is 1 units, height 1 is 0.5 units, and height 2 is 0.25 units?
Answer
Given:
- diagonal, d = 1 units
- height 1, h_1 = 0.5 units
- height 2, h_2 = 0.25 units
The formula to find the Area of a Quadrilateral is:
A = \( \frac{ d ( h_1 + h_2 )}{2} \)
Substitute given values in the above formula.
A = \( \frac{1\times (0.5+0.25)}{2} \)
A = 0.38 square units
∴ Area, A = 0.38 square units
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"input_values": [
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"examples": [
{
"d": 20,
"h_1": 5,
"h_2": 10
},
{
"d": 1,
"h_1": 0.5,
"h_2": 0.25
}
],
"type": "Calculate",
"title": "Quadrilateral Area",
"category": "Geometry",
"shape": "Quadrilateral",
"formula_mathjax": "\\( \\frac{ d ( h_1 + h_2 )}{2} \\)",
"formula_mathjax_sub": "\\( \\frac{ d \\times ( h_1 + h_2 )}{2} \\)",
"formula": "( d * ( h_1 + h_2 )/2 )",
"op_label": "Area",
"output_unit": "square units",
"description": "The Quadrilateral Area calculator calculates the area of a auadrilateral shape by taking the length of diagonal, and the heights of perpendiculars drawn from other two vertices to the diagonal, as inputs.",
"explanation": "The area of a quadrilateral is a measure of the space enclosed by the four sides of quadrilateral.</p><p>To calculate the area of a quadrilateral, you need a diagonal (d) and the perpendicular distance from the other two vertices to this diagonal: h<sub>1</sub>, h<sub>2</sub>.",
"examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Area when diagonal, height 1, and height 2 are given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Area of Quadrilateral whose diagonal is 20 units, height 1 is 5 units, and height 2 is 10 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>diagonal, d = 20 units<li>height 1, h_1 = 5 units<li>height 2, h_2 = 10 units</ul><p>The formula to find the Area of a Quadrilateral is:</p><p class=\"tabspace\">A = \\( \\frac{ d ( h_1 + h_2 )}{2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( \\frac{20\\times (5+10)}{2} \\)</p><p class=\"tabspace\">A = 150 square units</p><p class=\"tabspace answer\">∴ Area, A = 150 square units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Area of Quadrilateral whose diagonal is 1 units, height 1 is 0.5 units, and height 2 is 0.25 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>diagonal, d = 1 units<li>height 1, h_1 = 0.5 units<li>height 2, h_2 = 0.25 units</ul><p>The formula to find the Area of a Quadrilateral is:</p><p class=\"tabspace\">A = \\( \\frac{ d ( h_1 + h_2 )}{2} \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">A = \\( \\frac{1\\times (0.5+0.25)}{2} \\)</p><p class=\"tabspace\">A = 0.38 square units</p><p class=\"tabspace answer\">∴ Area, A = 0.38 square units</p></div>",
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