Problem preview
MF.GM.2 Standard MF-049-A04-V01

Find and interpret perimeter and circumference in numeric and contextual problems.

Compare boundary distances

Problem

Calculate and compare the outside distances of a \(6\text{-}\text{unit}\text{-}by-4\text{-}\text{unit}\) rectangle and a circle with diameter \(8~\text{units}\). Use \(3.14\) for \(\pi~\) if needed.

Big Picture

What this problem is really about

Compare like quantities by finding the full boundary length of each figure. Add both pairs of rectangle sides, use pi times diameter for the circle with the stated approximation, and keep both results in the same linear units. Only after both outside distances are complete should their numerical values be compared.

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Four variants of this problem type
Curriculum context
Standard
MF.GM.2
Category
Geometry and Measurement
Domain
Plane Measurement
Objective
Find and interpret perimeter and circumference in numeric and contextual problems.
Problem type
Compare boundary distances