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G-GPE.7 Warmup M1-046-A03-V01

Use coordinate methods to compute polygon perimeters and areas of triangles/rectangles.

Find the perimeter of a rectangle from its coordinates

Problem

Find the perimeter of the rectangle with vertices \(A(0,~0)\), \(B(6,~0)\), \(C(6,~4)\), and \(D(0,~4)\).

Actual coordinate polygon or dimensioned source figure containing only information supplied in the prompt. Open full size
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What this problem is really about

Measure one horizontal side and one vertical side from absolute coordinate differences, then use the rectangle’s opposite-side equality. Perimeter counts the boundary, so double the sum of those adjacent lengths; multiplying them would answer a different question about the interior.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-GPE.7
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Use coordinate methods to compute polygon perimeters and areas of triangles/rectangles.
Problem type
Find the perimeter of a rectangle from its coordinates