How to Find the Area of the Polygon?

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How-to guide

How to Find the Area of the Polygon?

11 steps 4 min read
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Identify the polygon’s vertices and side lengths

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Determine whether the polygon is regular or irregular

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If the polygon is regular, use the formula (A = frac{1}{2}ap), where (a) is the apothem and (p) is the perimeter

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If the polygon is irregular, divide it into triangles, rectangles, or other simpler shapes

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Find the area of each simpler shape

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Add the areas of all simpler shapes together

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If the polygon is on a coordinate plane, use the shoelace formula

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For a triangle, use (A = frac{1}{2}bh)

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For a rectangle, use (A = lw)

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For a trapezoid, use (A = frac{1}{2}(b_1+b_2)h)

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For a parallelogram, use (A = bh)

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