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Geometry Grade 4-5

Geometry: Area and Perimeter

Find the space inside and distance around shapes

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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.

LivePhysics™.com Geometry - Grade 4-5

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