Problem preview
G-MG.1 Warmup M3-039-A08-V01

Use geometric shapes, measurements, and properties to describe real-world objects.

Find the real measurement from a scale drawing or model

Problem

A drawing uses the scale \(1~\text{cm}:5~m\). If a length on the drawing is \(4~\text{cm}\), what real-world length does it represent?

Big Picture

What this problem is really about

Treat the scale as a conversion factor rather than as two numbers to combine arbitrarily. Orient the factor so the drawing unit cancels and the real-world unit remains, then multiply the measured drawing length by that factor. The surviving unit confirms both the direction of the conversion and the meaning of the result.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
G-MG.1
Category
Geometry
Domain
Modeling with Geometry
Objective
Use geometric shapes, measurements, and properties to describe real-world objects.
Problem type
Find the real measurement from a scale drawing or model