Area and Perimeter of Rectangles

Mr. Yokusa is expanding the size of his living room. He is going to do this by tearing down the wall between his living room and a storage space, as shown in the diagram. Which of the following shows how to determine the area of the living room after Mr. Yojusa tears down the wall?

• (3 x 3) + (4 x 2)

• (3 x 4) + (2 X 2)

• (3 x 4) X ( 2 + 2)

• (5 x 3) + (2 x 2)

Blair drew both of the rectangles in the image. She said that the rectangles have the same area but different perimeters. Which of the following statements is true?

• Blair is not correct because the rectangles have both the same area and the same perimeter

• Blair is not correct because the rectangles have the same perimeter but different areas.

• Blair is not correct because the rectangles have different areas and different perimeters.

• Blair is correct.

What is the PERIMETER of this shape?

• 7 cm

• 14 cm

• 20 cm

• 10 cm

Which statement about these rectangles is TRUE?

• The perimeters and the areas are the same.

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

• The areas and perimeters are different.

What is the AREA of this shape?

• 7 sq. cm

• 10 sq. cm

• 14 sq. cm

Charlie drew a rectangle on a piece of grid paper. Each square has an area of 1 square centimeter. What is the area of the shaded rectangle?

• 64 square centimeters

• 24 square centimeters

• 22 square centimeters

• 10 square centimeters

Lloyd is building a rectangular sandbox for his grandchildren. The dimensions of the sandbox are shown below. Lloyd is going to build a wooden frame around the edge of the sandbox. How long will the wooden edge need to be?

• 11 feet

• 24 feet

• 22 feet

• 28 feet

Omar found the area of the shaded part of the figure by counting the total number of shaded tiles. What is another way he could have found the area?

• By adding 4 and 6

• By multiplying 4 and 4

• By adding 4 and 4

• By multiplying 4 and 6

Ms. Seivwright is ordering a new rug for her classroom. The rug is 35 square units. What is the missing side for the rug she is ordering?

• 4 units

• 5 units

• 6 units

• 7 units

Ellen is comparing two rectangles. Rectangle P is 5 inches long and 1 inch wide. Rectangle Q is 4 inches long and 2 inches wide. Which statement correctly compares the areas and perimeters of the rectangles?

• The rectangles have equal areas, and rectangle P has a greater perimeter.

• The rectangles have equal areas, and rectangle Q has a greater perimeter.

• The rectangles have equal perimeters, and rectangle P has a greater area.

• The rectangles have equal perimeters, and rectangle Q has a greater area.