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Lesson 2: Perimeters of Composite Figures — Practice Questions

  1. 1. A composite figure is formed by two rectangles. Its outer sides have lengths of 9 ft, 4 ft, 5 ft, 3 ft, 4 ft, and 7 ft. What is the total perimeter of the figure in feet? ___

  2. 2. A figure is formed by a square with a side length of 8 cm and an equilateral triangle attached to its top side. What is the perimeter of this composite figure?

    • A. 40 cm
    • B. 48 cm
    • C. 56 cm
    • D. 64 cm
  3. 3. A shape consists of a rectangle that is 30m long and 12m wide. A semicircle is attached to one of the 12m sides. What is the exact perimeter of the shape in meters? ___

  4. 4. When finding the perimeter of a composite figure made of two touching shapes, which lengths should be added together?

    • A. All the side lengths of both original shapes.
    • B. Only the lengths that form the outer boundary of the composite figure.
    • C. The sum of the areas of the two shapes.
    • D. The length of the shared side between the two shapes.
  5. 5. A rectangular piece of paper is 15 inches long and 10 inches wide. A small rectangle measuring 3 inches by 4 inches is cut from one corner. What is the perimeter of the remaining L-shaped piece? ___ inches

  6. 6. A polygon on grid paper has 6 segments along the grid lines and 2 diagonal segments. What is the estimated perimeter of the polygon in units? ___

  7. 7. When estimating perimeter on grid paper, how is the length of a single diagonal segment that crosses one grid square approximated?

    • A. As 1 unit
    • B. As 1.5 units
    • C. As 2 units
    • D. The same as a horizontal segment
  8. 8. A figure drawn on grid paper is shaped like a boat. It has 1 long horizontal base of 5 units, 2 vertical sides of 1 unit each, and 2 diagonal segments. What is its estimated perimeter? ___

  9. 9. A star shape is drawn on a grid. It is composed entirely of 10 diagonal segments of equal length. Using the standard approximation, what is the estimated perimeter of the star? ___

  10. 10. A shape has an estimated perimeter of 12.5 units. It is composed of 5 segments along grid lines and some number of diagonal segments. How many diagonal segments does the shape have?

    • A. 3
    • B. 4
    • C. 5
    • D. 6