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Geometry Grade 4-5 Answer Key

Geometry: Perimeter is the Distance Around the Edge Practice

Finding the distance around shapes

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Geometry: Perimeter is the Distance Around the Edge Practice

Finding the distance around shapes

Geometry - Grade 4-5

Instructions: Read each problem carefully. Add all side lengths around the outside edge of the shape. Include units in your answers.
  1. 1

    A rectangle has a length of 8 inches and a width of 3 inches. What is the perimeter of the rectangle?

    A rectangle has two equal lengths and two equal widths.

    The perimeter is 22 inches because 8 + 3 + 8 + 3 = 22.
  2. 2

    A square has sides that are each 6 centimeters long. What is the perimeter of the square?

    The perimeter is 24 centimeters because 6 + 6 + 6 + 6 = 24.
  3. 3

    A triangle has side lengths of 5 feet, 7 feet, and 9 feet. What is the perimeter of the triangle?

    Perimeter means the total distance around the outside of the shape.

    The perimeter is 21 feet because 5 + 7 + 9 = 21.
  4. 4

    A garden is shaped like a rectangle. It is 12 meters long and 5 meters wide. How much fencing is needed to go all the way around the garden?

    The garden needs 34 meters of fencing because 12 + 5 + 12 + 5 = 34.
  5. 5

    Find the perimeter of a pentagon with side lengths of 4 inches, 4 inches, 6 inches, 7 inches, and 3 inches.

    Add each side length one time.

    The perimeter is 24 inches because 4 + 4 + 6 + 7 + 3 = 24.
  6. 6

    A picture frame is 10 inches wide and 14 inches tall. What is the perimeter of the frame?

    The perimeter is 48 inches because 10 + 14 + 10 + 14 = 48.
  7. 7

    A regular hexagon has 6 equal sides. Each side is 5 centimeters long. What is the perimeter?

    A regular hexagon has 6 sides that are all the same length.

    The perimeter is 30 centimeters because 6 equal sides times 5 centimeters each equals 30 centimeters.
  8. 8

    A playground is shaped like a rectangle with a perimeter of 50 yards. One side is 15 yards long. What is the length of each shorter side?

    Opposite sides of a rectangle are equal.

    Each shorter side is 10 yards. The two 15-yard sides total 30 yards, and 50 - 30 = 20, so the two shorter sides are 10 yards each.
  9. 9

    A shape has four sides with lengths 9 feet, 4 feet, 9 feet, and 4 feet. What is its perimeter?

    The perimeter is 26 feet because 9 + 4 + 9 + 4 = 26.
  10. 10

    A dog pen is shaped like an L. Starting at one corner and moving around the outside, the side lengths are 6 meters, 4 meters, 2 meters, 3 meters, 4 meters, and 7 meters. What is the perimeter of the dog pen?

    Even if the shape is not a rectangle, add every outside side length.

    The perimeter is 26 meters because 6 + 4 + 2 + 3 + 4 + 7 = 26.
  11. 11

    A student says that a rectangle with sides 7 units and 2 units has a perimeter of 9 units because 7 + 2 = 9. Explain the mistake and find the correct perimeter.

    Perimeter includes the whole outside edge, not just one length and one width.

    The mistake is adding only two sides. A rectangle has four sides, so the correct perimeter is 7 + 2 + 7 + 2 = 18 units.
  12. 12

    Draw or imagine a rectangle with a perimeter of 36 inches. If its length is 11 inches, what is its width?

    The width is 7 inches. The two lengths total 22 inches, and 36 - 22 = 14, so the two equal widths are 7 inches each.
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