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Math Grade 4-5 Answer Key

Area and Perimeter of Rectangles

Finding space inside and distance around rectangles

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Area and Perimeter of Rectangles

Finding space inside and distance around rectangles

Math - Grade 4-5

Instructions: Read each problem carefully. Use the formulas for rectangles: area = length x width, and perimeter = length + width + length + width. Show your work in the space provided.
  1. 1

    A rectangle has a length of 9 inches and a width of 4 inches. What is its area?

    Area tells how many square units cover the inside of the rectangle.

    The area is 36 square inches because 9 x 4 = 36.
  2. 2

    A rectangle has a length of 12 feet and a width of 5 feet. What is its perimeter?

    The perimeter is 34 feet because 12 + 5 + 12 + 5 = 34.
  3. 3

    A garden is shaped like a rectangle. It is 8 meters long and 6 meters wide. What is the area of the garden?

    Multiply the length by the width to find the number of square meters inside the garden.

    The area of the garden is 48 square meters because 8 x 6 = 48.
  4. 4

    A rectangular picture frame is 10 inches long and 7 inches wide. How much ribbon is needed to go around the outside edge one time?

    Ribbon around the outside edge means you need the perimeter.

    The frame needs 34 inches of ribbon because its perimeter is 10 + 7 + 10 + 7 = 34 inches.
  5. 5

    A rectangle has an area of 45 square centimeters. Its width is 5 centimeters. What is its length?

    Use the area and divide by the known side length.

    The length is 9 centimeters because 45 divided by 5 = 9.
  6. 6

    A rectangle has a perimeter of 30 inches. Its length is 10 inches. What is its width?

    The width is 5 inches because the two lengths total 20 inches, and 30 - 20 = 10 inches for both widths. Each width is 10 divided by 2, which is 5 inches.
  7. 7

    Which rectangle has the greater area: Rectangle A is 6 feet by 8 feet, and Rectangle B is 7 feet by 7 feet?

    Find the area of each rectangle, then compare the products.

    Rectangle B has the greater area. Rectangle A has an area of 48 square feet, and Rectangle B has an area of 49 square feet.
  8. 8

    A dog run is 14 feet long and 4 feet wide. What is its perimeter?

    The perimeter of the dog run is 36 feet because 14 + 4 + 14 + 4 = 36.
  9. 9

    A classroom rug is 9 feet long and 6 feet wide. What is the area of the rug?

    Area is measured in square units, such as square feet.

    The area of the rug is 54 square feet because 9 x 6 = 54.
  10. 10

    A rectangular playground is 20 meters long and 12 meters wide. What is the perimeter of the playground?

    The perimeter of the playground is 64 meters because 20 + 12 + 20 + 12 = 64.
  11. 11

    A rectangle is 11 centimeters long and 3 centimeters wide. Find both the area and the perimeter.

    Use both formulas. Area measures the inside, and perimeter measures the outside edge.

    The area is 33 square centimeters because 11 x 3 = 33. The perimeter is 28 centimeters because 11 + 3 + 11 + 3 = 28.
  12. 12

    A rectangular poster has an area of 72 square inches. Its length is 12 inches. What is its width?

    The width is 6 inches because 72 divided by 12 = 6.
  13. 13

    Draw a rectangle with a length of 7 units and a width of 5 units. Then find its area and perimeter.

    Label all four sides before calculating.

    The rectangle should have sides of 7 units and 5 units. Its area is 35 square units because 7 x 5 = 35, and its perimeter is 24 units because 7 + 5 + 7 + 5 = 24.
  14. 14

    Two rectangles have the same perimeter of 24 units. Rectangle A is 8 units long and 4 units wide. Rectangle B is 6 units long and 6 units wide. Which rectangle has the greater area?

    Rectangles can have the same perimeter but different areas.

    Rectangle B has the greater area. Rectangle A has an area of 32 square units, and Rectangle B has an area of 36 square units.
  15. 15

    A farmer wants to fence a rectangular field that is 15 yards long and 9 yards wide. The fence costs 3 dollars per yard. What is the total cost of the fence?

    The total cost is 144 dollars. The perimeter is 48 yards because 15 + 9 + 15 + 9 = 48, and 48 x 3 = 144.
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