Problem preview
G-GPE.7 Warmup M1-046-A11-V01

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

Compare area and perimeter of coordinate figures

Problem

Compare the area and perimeter of these \(\text{two}\) figures: rectangle \(6~by~4\) and rectangle \(8~by~3\).

Big Picture

What this problem is really about

Compare the two measurements independently: area comes from multiplying side lengths, while perimeter comes from doubling their sum. Equal products do not force equal sums, so verify each rectangle separately before describing what stays the same and what changes.

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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
Compare area and perimeter of coordinate figures