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G-GPE.7 Warmup M1-046-A04-V01

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

Find the area of an axis-aligned rectangle from its coordinates

Problem

Find the area of the axis-aligned 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

For an axis-aligned rectangle, the coordinate spans are already perpendicular dimensions: use the absolute x-difference for one side and the absolute y-difference for the other. Multiply those dimensions to count the interior unit squares, and report square units rather than linear units.

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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 area of an axis-aligned rectangle from its coordinates