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Problem preview
MF.GM.3 Standard MF-050-A04-V04

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

Break a composite figure into easier pieces

Problem

A garden shape can be split into a parallelogram and a triangle. The parallelogram has a base of \(10~\text{units}\) and a perpendicular height of \(6~\text{units}\). A triangle is attached along a side of the parallelogram that is \(6~\text{units}\) long, so the triangle’s base is \(6~\text{units}\). The triangle’s perpendicular height, measured straight out from that \(6\text{-}\text{unit}\) side, is \(3~\text{units}\). Find the total area of the garden in square units.

A parallelogram with base 10 and perpendicular height 6, with a triangle attached along its 6-unit side and outward height 3. 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