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Problem preview
MF.GM.3 Standard MF-050-A04-V03

Use area formulas for rectangles, triangles, parallelograms, trapezoids, and composite figures.

Break a composite figure into easier pieces

Problem

A composite figure is made from a rectangle and a trapezoid that share \(\text{one}~\text{full}~\text{side}\). The rectangle is \(8.5~m\) long and \(3~m\) wide. Attached directly above it is a trapezoid whose bottom base matches the rectangle’s \(8.5~m\) top side. The trapezoid has height \(4~m\) and top base \(5.5~m\). Find the total area of the figure in square meters.

An 8.5 by 3 rectangle with a trapezoid above it, sharing the 8.5-meter side; trapezoid top base 5.5 meters and height 4 meters. Open full size
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Four variants of this problem type
Curriculum context
Standard
MF.GM.3
Category
Geometry and Measurement
Domain
Plane Measurement
Objective
Use area formulas for rectangles, triangles, parallelograms, trapezoids, and composite figures.
Problem type
Break a composite figure into easier pieces