Problem preview
MF.EQ.4 Standard MF-031-A06-V01

Use the distributive property to expand and factor simple linear expressions.

Connect area and distribution

Problem

A rectangle has height \(3\) and width \(x~+~4\). Use distribution to express its area in expanded form.

Big Picture

What this problem is really about

Read the diagram as one rectangle split into two side-by-side pieces. Both pieces share the height of three, so that height multiplies each width section and creates two partial areas. Adding those partial areas gives an expanded form of the same total area as height times the full width.

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Four variants of this problem type
Curriculum context
Standard
MF.EQ.4
Category
Pre-Algebra
Domain
Expressions
Objective
Use the distributive property to expand and factor simple linear expressions.
Problem type
Connect area and distribution