Area of Concave Quadrilateral Formula

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Area of Concave Quadrilateral is the amount of two-dimensional space taken up by the Concave Quadrilateral. Check FAQs

A = \sqrt{(\frac{S First Outer + d Inner + S First Inner}{2}) \cdot ((\frac{S First Outer + d Inner + S First Inner}{2}) - S First Outer) \cdot ((\frac{S First Outer + d Inner + S First Inner}{2}) - d Inner) \cdot ((\frac{S First Outer + d Inner + S First Inner}{2}) - S First Inner)} + \sqrt{(\frac{S Second Outer + d Inner + S Second Inner}{2}) \cdot ((\frac{S Second Outer + d Inner + S Second Inner}{2}) - S Second Outer) \cdot ((\frac{S Second Outer + d Inner + S Second Inner}{2}) - d Inner) \cdot ((\frac{S Second Outer + d Inner + S Second Inner}{2}) - S Second Inner)}

A - Area of Concave Quadrilateral?S_{First Outer} - First Outer Side of Concave Quadrilateral?d_Inner - Inner Diagonal of Concave Quadrilateral?S_{First Inner} - First Inner Side of Concave Quadrilateral?S_{Second Outer} - Second Outer Side of Concave Quadrilateral?S_{Second Inner} - Second Inner Side of Concave Quadrilateral?

Area of Concave Quadrilateral Example

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Here is how the Area of Concave Quadrilateral equation looks like with Values.

Here is how the Area of Concave Quadrilateral equation looks like with Units.

Here is how the Area of Concave Quadrilateral equation looks like.

14.7284 = \sqrt{(\frac{10 + 4 + 7}{2}) \cdot ((\frac{10 + 4 + 7}{2}) - 10) \cdot ((\frac{10 + 4 + 7}{2}) - 4) \cdot ((\frac{10 + 4 + 7}{2}) - 7)} + \sqrt{(\frac{5 + 4 + 2}{2}) \cdot ((\frac{5 + 4 + 2}{2}) - 5) \cdot ((\frac{5 + 4 + 2}{2}) - 4) \cdot ((\frac{5 + 4 + 2}{2}) - 2)}

14.7284m² = \sqrt{(\frac{10m + 4m + 7m}{2}) \cdot ((\frac{10m + 4m + 7m}{2}) - 10m) \cdot ((\frac{10m + 4m + 7m}{2}) - 4m) \cdot ((\frac{10m + 4m + 7m}{2}) - 7m)} + \sqrt{(\frac{5m + 4m + 2m}{2}) \cdot ((\frac{5m + 4m + 2m}{2}) - 5m) \cdot ((\frac{5m + 4m + 2m}{2}) - 4m) \cdot ((\frac{5m + 4m + 2m}{2}) - 2m)}

14.7284 = \sqrt{(\frac{10 + 4 + 7}{2}) \cdot ((\frac{10 + 4 + 7}{2}) - 10) \cdot ((\frac{10 + 4 + 7}{2}) - 4) \cdot ((\frac{10 + 4 + 7}{2}) - 7)} + \sqrt{(\frac{5 + 4 + 2}{2}) \cdot ((\frac{5 + 4 + 2}{2}) - 5) \cdot ((\frac{5 + 4 + 2}{2}) - 4) \cdot ((\frac{5 + 4 + 2}{2}) - 2)}

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Area of Concave Quadrilateral Solution

Follow our step by step solution on how to calculate Area of Concave Quadrilateral?

FIRST Step Consider the formula

A = \sqrt{(\frac{S First Outer + d Inner + S First Inner}{2}) \cdot ((\frac{S First Outer + d Inner + S First Inner}{2}) - S First Outer) \cdot ((\frac{S First Outer + d Inner + S First Inner}{2}) - d Inner) \cdot ((\frac{S First Outer + d Inner + S First Inner}{2}) - S First Inner)} + \sqrt{(\frac{S Second Outer + d Inner + S Second Inner}{2}) \cdot ((\frac{S Second Outer + d Inner + S Second Inner}{2}) - S Second Outer) \cdot ((\frac{S Second Outer + d Inner + S Second Inner}{2}) - d Inner) \cdot ((\frac{S Second Outer + d Inner + S Second Inner}{2}) - S Second Inner)}

Next Step Substitute values of Variables

∴

A = \sqrt{(\frac{10m + 4m + 7m}{2}) \cdot ((\frac{10m + 4m + 7m}{2}) - 10m) \cdot ((\frac{10m + 4m + 7m}{2}) - 4m) \cdot ((\frac{10m + 4m + 7m}{2}) - 7m)} + \sqrt{(\frac{5m + 4m + 2m}{2}) \cdot ((\frac{5m + 4m + 2m}{2}) - 5m) \cdot ((\frac{5m + 4m + 2m}{2}) - 4m) \cdot ((\frac{5m + 4m + 2m}{2}) - 2m)}

Next Step Prepare to Evaluate

∴

A = \sqrt{(\frac{10 + 4 + 7}{2}) \cdot ((\frac{10 + 4 + 7}{2}) - 10) \cdot ((\frac{10 + 4 + 7}{2}) - 4) \cdot ((\frac{10 + 4 + 7}{2}) - 7)} + \sqrt{(\frac{5 + 4 + 2}{2}) \cdot ((\frac{5 + 4 + 2}{2}) - 5) \cdot ((\frac{5 + 4 + 2}{2}) - 4) \cdot ((\frac{5 + 4 + 2}{2}) - 2)}

Next Step Evaluate

∴

A = 14.7284175355899m²

LAST Step Rounding Answer

∴

A = 14.7284m²

Area of Concave Quadrilateral Formula Elements

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Functions

Area of Concave Quadrilateral

Area of Concave Quadrilateral is the amount of two-dimensional space taken up by the Concave Quadrilateral.

Symbol: A

Measurement: AreaUnit: m²