Problem preview
A-CED.A.1 Warmup M1-001-A14-V01

Create and solve a one-variable linear equation from a short context.

Translate a described layout into an equation

Problem

A rectangle has width \(5\) and length \(x\). Its perimeter is \(30\). Write a perimeter equation and solve for \(x\).

Big Picture

What this problem is really about

The diagram represents a perimeter, so every side of the rectangle contributes to one total. We’ll use the fact that twice the length plus twice the width equals the given perimeter. Substituting the labeled width leaves a one-variable equation, and undoing the constant and factor isolates the unknown length.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-CED.A.1
Category
Algebra
Domain
Creating Equations
Objective
Create and solve a one-variable linear equation from a short context.
Problem type
Translate a described layout into an equation