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Math · Age 11 · Measurement

Perimeter & Area of Compound Shapes (Ex. 3)

Solve problems with shapes that have cut-outs and step arrangements.

Module

Measurement

Age

Age 11

Duration

10 min

Questions

5

What's in this exercise

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  1. Question 1

    Multiple choice

    A shape is 12 m × 8 m, with a 4×3 m cut from one corner. What is the remaining area?

  2. Question 2

    Multiple choice

    A compound shape has sides: 6, 3, 2, 1, 4, 4 cm. What is the perimeter?

  3. Question 3

    Multiple choice

    A step figure is made of three 2×1 cm rectangles placed in steps. What is the total area?

  4. Question 4

    Sequence

    Area of compound shape: 10×6 rectangle minus 2×3 cut-out. Area = 60 − ____×3 = 60 − 6 = 54 cm².

  5. Question 5

    True or false

    A compound shape always has a larger perimeter than a simple rectangle with the same total area.

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