Maximize Area and Perimeter of Rectangles

Which statement is true?

• The figures have the same perimeter but different areas.

• The figures have different perimeters but the same area.

• The figures have the same area and perimeter.

• The figures have different perimeters and areas.

Which rectangle has a greater area?

• Rectangle A

• Rectangle B

Which figure has the same perimeter but different area as Rectangle A?

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What is the area?

• 35 cm

• 30 cm

• 35 sq cm

• 12 cm

Do the figures have the same area or perimeter?

• Area

• Perimeter

• Both

Ian is building a rectangular sandbox. The perimeter will be 12 feet. He wants the sandbox to have the greatest possible area. What could be Ian's sandbox?

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Which of the figures has the same perimeter but a different area compared to Figure A?

• Figure 1

• Figure 2

• Figure 3

• Figure 4

• None of the Above

Which of the figures has the same area but a different perimeter compared to Figure A?

• Figure 1

• Figure 2

• Figure 3

• Figure 4

• None of the Above

Which of the figures have the same perimeter but different areas?

• Figures 1 and 2

• Figures 2 and 4

• Figures 1 and 3

• Figures 3 and 4

• None of the Above

Fill in the blanks. The figures both have an area of _____. The __________ has a greater perimeter.

• 13 sq. units; rectangle

• 24 sq. units; rectangle

• 24 sq. units; square

• 36 sq. units; square

• 36 sq. units; rectangle