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Geometry · G-GPE

Perimeter and Area of Figures in the Coordinate Plane

Use the distance formula to find side lengths, then apply area/perimeter formulas to figures plotted on a coordinate grid.

GeometryCommon Core HSG-GPE.B.7G-GPEVerified correct ✓

Worked examples

Find the area of the quadrilateral with vertices (-1,3), (8,3), (8,7), (-1,7). Use the Shoelace formula or decompose into a rectangle.
Answer: 36
Find the perimeter of the quadrilateral with vertices (-6,-1), (-2,-1), (-2,9), (-6,9). Use the distance formula for each side.
Answer: 28

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