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Geometry Grade 4-5

Geometry: Area and Perimeter

Find the space inside and distance around shapes

View Answer Key

Practice finding area and perimeter of rectangles, squares, and simple composite shapes using addition, multiplication, and units.

Read each problem carefully. Show your work in the space provided. Remember to include square units for area and units for perimeter.

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Find the space inside and distance around shapes

Geometry - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided. Remember to include square units for area and units for perimeter.
  1. 1
    A grid rectangle with eight columns and five rows, outlined to show its perimeter.

    A rectangle is 8 feet long and 5 feet wide. Find the area and the perimeter.

  2. 2
    A square garden shown as a six by six grid with equal sides.

    A square garden has sides that are each 6 meters long. What is the area of the garden?

  3. 3
    A rectangular playground with a highlighted outside boundary.

    A rectangular playground is 12 yards long and 7 yards wide. What is the perimeter of the playground?

  4. 4
    A gridded rectangle showing forty-eight unit squares arranged in rows and columns.

    Find the missing side length of a rectangle with an area of 48 square inches and a width of 6 inches.

  5. 5
    A nine by four gridded rectangle with its outside edge emphasized.

    A rectangle is 9 centimeters long and 4 centimeters wide. Which is larger, the area or the perimeter? Explain.

  6. 6
    A square fenced pen viewed from above.

    A farmer puts a fence around a square pen. Each side of the pen is 10 feet long. How many feet of fencing does the farmer need?

  7. 7
    A rectangular rug shown as a grid of thirty-five unit squares.

    A rectangular rug has an area of 35 square feet. One side is 5 feet long. What is the length of the other side?

  8. 8
    A grid rectangle with three rows and eight squares in each row.

    On grid paper, a rectangle covers 3 rows with 8 squares in each row. What is the area of the rectangle?

  9. 9
    A rectangular bedroom floor shown from above with carpet covering the area.

    A bedroom floor is 11 feet long and 9 feet wide. How much carpet is needed to cover the floor?

  10. 10
    A wide rectangle with all four outside edges highlighted.

    A rectangle has side lengths of 14 inches, 6 inches, 14 inches, and 6 inches. Find its perimeter.

  11. 11
    A square with equal sides and its perimeter highlighted.

    A square has a perimeter of 32 centimeters. What is the length of one side?

  12. 12
    A rectangular picture frame with a clear outside border.

    A rectangular picture frame is 15 inches long and 10 inches wide. Find the perimeter of the frame.

  13. 13
    An L-shaped figure made from two joined rectangles with grid squares.

    A simple L-shaped figure is made from two rectangles. Rectangle A is 6 units by 4 units. Rectangle B is 3 units by 4 units. What is the total area of the L-shaped figure?

  14. 14
    Two rectangles of different shapes shown side by side with their outlines highlighted.

    Maya says a rectangle with sides 2 inches and 12 inches has the same perimeter as a rectangle with sides 6 inches and 8 inches. Is Maya correct? Show your work.

  15. 15
    A rectangular dog run with grass inside and fencing around the outside.

    A dog run is shaped like a rectangle that is 18 feet long and 6 feet wide. The owner wants to put grass inside and fencing around the outside. Find the area for grass and the perimeter for fencing.

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