Represent Rectangles with the Same Area and Different Perimeters

Rachel’s backyard is rectangular. It has an area of 60 square yards and a perimeter of 38 yards. Select the shape below that matches Rachel’s backyard.

• 
• 
• 
• 

Trey drew four rectangles with the area of 36 square inches. Which rectangle has the smallest perimeter?

• 
• 
• 
• 

Larry drew 2 rectangles in his notebook.

Which statement about the perimeters and areas of the rectangle is true?

• The areas are the same, but the perimeters are different.

• The areas are different, but the perimeters are the same.

• The two rectangles have the same area and perimeter.

• The two rectangles have different areas and perimeters.

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

Which statement about the perimeters and areas of Cheung’s rectangles is true?

• The areas are the same, and the perimeters are the same.

• The areas are the same, and the perimeters are different.

• The areas are different, and the perimeters are different.

• The areas are different, and the perimeters are the same.

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

Isaac drew two rectangles on grid paper.

Which statement about the perimeter and areas of Isaac's rectangles is true?

• The areas are the same and the perimeters are the same

• The areas are different and the perimeters are different

• The areas are different and the perimeters are the same

• The areas are the same and the perimeters are different

What is the area of each rectangle?

• : Area = 6 square units;    : Area = 6 square units

• : Area = 6 square units;    : Area = 3 square units

• : Area = 14 square units;    : Area = 10 square units

• : Area = 7 square units;    : Area = 5 square units

• The rectangles have the same area and perimeter.

• The rectangles have the same area, but different perimeters.

• The rectangles have the same perimeter, but different areas.

• The rectangles have different areas and perimeters.