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MF.GM.2 Standard MF-049-A04-V03

Find and interpret perimeter and circumference in numeric and contextual problems.

Compare boundary distances

Problem

Compare the outside distances of these two figures. Figure A is a triangle with side lengths \(7~\text{cm}\), \(8~\text{cm}\), and \(9~\text{cm}\). Figure B is a rectangle with length \(5~\text{cm}\) and width \(7~\text{cm}\). Is Figure A greater than Figure B, is Figure B greater than Figure A, or are they equal?

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Figure A > Figure B because 7+8+9=24 cm, but 5+7=12 cm.

Figure B > Figure A because 5×7=35 is greater than 7+8+9=24.

Figure A = Figure B; both have an outside distance of 24 cm.

Figure B > Figure A because a rectangle has 4 sides and a triangle has only 3 sides.

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Curriculum context

Course: Math Foundations
Standard: MF.GM.2
Category: Geometry and Measurement
Domain: Plane Measurement
Objective: Find and interpret perimeter and circumference in numeric and contextual problems.
Problem type: Compare boundary distances