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Math Grade 4-5 Answer Key

Math: Area and Perimeter

Finding the space inside and the distance around shapes

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Math: Area and Perimeter

Finding the space inside and the distance around shapes

Math - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided. Use square units for area and units for perimeter.
  1. 1

    A rectangle is 6 units long and 4 units wide. What is its area?

    Area of a rectangle is length times width.

    The area is 24 square units because 6 times 4 equals 24.
  2. 2

    A rectangle is 9 units long and 3 units wide. What is its perimeter?

    The perimeter is 24 units because 9 + 3 + 9 + 3 = 24.
  3. 3

    Find the area of a rectangle with a length of 8 units and a width of 5 units.

    Multiply the two side lengths.

    The area is 40 square units because 8 times 5 equals 40.
  4. 4

    Find the perimeter of a rectangle with side lengths 7 units and 2 units.

    The perimeter is 18 units because 7 + 2 + 7 + 2 = 18.
  5. 5

    A square has a side length of 6 units. What is its area?

    The area is 36 square units because 6 times 6 equals 36.
  6. 6

    A square has a side length of 5 units. What is its perimeter?

    A square has 4 equal sides.

    The perimeter is 20 units because 5 + 5 + 5 + 5 = 20.
  7. 7

    A garden is shaped like a rectangle. It is 10 feet long and 4 feet wide. Find the area of the garden.

    The area of the garden is 40 square feet because 10 times 4 equals 40.
  8. 8

    A picture frame is a rectangle with side lengths 12 inches and 7 inches. What is its perimeter?

    Add all four sides.

    The perimeter is 38 inches because 12 + 7 + 12 + 7 = 38.
  9. 9

    A rectangle has an area of 35 square units and a width of 5 units. What is the length?

    The length is 7 units because 35 divided by 5 equals 7.
  10. 10

    A rectangle has a perimeter of 30 units. Its length is 9 units. Its width is 6 units. Check whether these side lengths match the perimeter.

    Add all four sides to check.

    Yes, the side lengths match the perimeter because 9 + 6 + 9 + 6 = 30 units.
  11. 11

    A floor is covered with 24 square tiles arranged in 6 rows of 4. What is the area of the floor in square tiles?

    The area is 24 square tiles because there are 24 tiles covering the floor.
  12. 12

    A rectangle is 11 units long and 2 units wide. Find both the area and the perimeter.

    Use multiplication for area and addition for perimeter.

    The area is 22 square units because 11 times 2 equals 22. The perimeter is 26 units because 11 + 2 + 11 + 2 = 26.
  13. 13

    One side of a square is 8 centimeters. Find its area and perimeter.

    The area is 64 square centimeters because 8 times 8 equals 64. The perimeter is 32 centimeters because 8 + 8 + 8 + 8 = 32.
  14. 14

    A rectangle has side lengths 4 units and 13 units. Which is greater, the area or the perimeter?

    Find both measurements first.

    The perimeter is greater. The area is 52 square units because 4 times 13 equals 52, and the perimeter is 34 units because 4 + 13 + 4 + 13 = 34. Since 52 is greater than 34, the area is greater in number, but area and perimeter use different units, so they should not be directly compared as the same kind of measurement.
  15. 15

    Draw or imagine a rectangle with a length of 5 units and a width of 3 units. Explain how to find its area and perimeter.

    The area is 15 square units because 5 times 3 equals 15. The perimeter is 16 units because 5 + 3 + 5 + 3 = 16. Area measures the space inside the shape, and perimeter measures the distance around it.
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