Comparing Area and Perimeter

Pat is sewing two rectangular rugs. She has already finished one rug. She wants to sew another one with the same area but the perimeter can be different. Which of the following has the same area as the rug she has finished?

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CCSS.Math.Content.4.MD.A.3

The Smith family is changing the size of a window in their house. The size of the old window is shown below. The new window is 2 feet longer. What is the difference between the areas of the old and new windows?

• 49 square feet

• 63 square feet

• 4 square feet

• 14 square feet

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CCSS.Math.Content.4.MD.A.3

Frankie has a piece of cloth the size and shape shown below. He knows he needs 30 inches of ribbon to go around the perimeter of the cloth. What is the length of the cloth?

• 10 inches

• 50 inches

• 15 inches

• 25 inches

Tags

CCSS.Math.Content.4.MD.A.3

Mr. Henderson took the picture below on his vacation. It has a perimeter of 16 inches. Mr. Henderson decided to make the picture bigger by increasing the length and width of the picture by 1 inch each. What is the difference between the perimeters of Mr. Henderson’s smaller and larger pictures?

• 5 inches

• 4 inches

• 8 inches

• 2 inches

Tags

CCSS.Math.Content.4.MD.A.3

Jarrod’s backyard is fenced in two separate sections. What is the area of both sections?

• 28 square feet

• 24 square feet

• 12 square feet

• 16 square feet

Tags

CCSS.Math.Content.4.MD.A.3

Miranda has a rectangular dog pen that is 5 feet long and 3 feet wide. She needs to make the dog pen larger. She doubles the length and width of the dog pen. What is the perimeter of the new dog pen?

• 16 feet

• 22 feet

• 26 feet

• 32 feet

Tags

CCSS.Math.Content.4.MD.A.3

Rectangle ABCD has a length of 10 feet and a width of 6 feet. The length and width of rectangle RSTU are double the measures of rectangle ABCD. What is the difference between the area of rectangle RSTU and the area of rectangle ABCD?

• 32 square feet

• 60 square feet

• 120 square feet

• 180 square feet

Tags

CCSS.Math.Content.4.MD.A.3

A set of curtains cover an area shaped like a rectangle as shown. The curtains cover a total of 96 square feet. What is the length of the missing side?

• 8 feet

• 20 feet

• 9 feet

• 40 feet

Tags

CCSS.Math.Content.4.MD.A.3

Look at the four rectangles shown. Which two rectangles have the same perimeter?

• rectangles 1 and 3

• rectangles 1 and 4

• rectangles 3 and 4

• rectangles 2 and 3

Tags

CCSS.Math.Content.4.MD.A.3

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.

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CCSS.3.MD.D.8