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P4 Math · Chapter 11brightbit.net/worksheets

Area and Perimeter of Composite Figures

Name: ______________________Class: ________Date: ____________Score: ____ / 10
  1. 1.

    An L-shaped figure is made by removing a 3 cm × 2 cm rectangle from a 7 cm × 5 cm rectangle. What is the area of the L-shape?

    (a) 29 cm²(b) 31 cm²(c) 35 cm²(d) 41 cm²
  2. 2.

    A composite figure consists of a 6 cm × 4 cm rectangle joined to a 3 cm × 3 cm square. What is the total area?

    Answer: ____________________________________

  3. 3.

    A rectangular field is 20 m long and 15 m wide. A square pond of side 4 m is dug inside. What is the remaining area?

    Answer: ____________________________________

  4. 4.

    Find the perimeter of a shape made by joining two 5 cm × 3 cm rectangles side by side along the 3 cm edge.

    (a) 22 cm(b) 26 cm(c) 32 cm(d) 36 cm
  5. 5.

    A path 1 m wide runs around a 10 m × 8 m garden. What is the area of just the path?

    Answer: ____________________________________

  6. 6.

    A T-shape is formed by a 8 cm × 2 cm strip on top of a 4 cm × 6 cm rectangle. What is the total area?

    Answer: ____________________________________

  7. 7.

    A composite figure has a perimeter of 48 cm. If a rectangle 10 cm × 4 cm is one part, and the rest is a square, what is the side of the square if the two shapes share a 4 cm edge and their non-shared sides form the perimeter? (Hint: solve systematically)

    (a) 4 cm(b) 5 cm(c) 6 cm(d) 8 cm
  8. 8.

    A rectangle is 12 cm long. Its perimeter is 34 cm. What is its area?

    Answer: ____________________________________

  9. 9.

    Two squares of side 6 cm overlap. The overlap is a 2 cm × 2 cm square. What is the total visible area?

    (a) 64 cm²(b) 68 cm²(c) 70 cm²(d) 72 cm²
  10. 10.

    A room is 9 m long and 7 m wide. Tiles of size 1 m × 1 m are used to cover the floor. How many tiles are needed?

    Answer: ____________________________________

Answer key — P4 Math: Area and Perimeter of Composite Figures

For parents. Step-by-step explanations for every question are free on brightbit.net.

  1. 1.(a) 29 cm²
  2. 2.33
  3. 3.284
  4. 4.(b) 26 cm
  5. 5.40
  6. 6.40
  7. 7.(b) 5 cm
  8. 8.60
  9. 9.(b) 68 cm²
  10. 10.63
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