Lesson Worksheet: Properties of Squares Mathematics

In this worksheet, we will practice solving problems using the properties of squares.


Given that 𝐴𝐵𝐶𝐷 is a square whose perimeter is 232 cm, find the lengths of 𝐴𝐵 and 𝐶𝐸. Then find the area of 𝐸𝐷𝐵.

  • A𝐴𝐵=58cm, 𝐶𝐸=29cm, area of 𝐸𝐷𝐵=1,682cm
  • B𝐴𝐵=15.23cm, 𝐶𝐸=7.62cm, area of 𝐸𝐷𝐵=232.11cm
  • C𝐴𝐵=58cm, 𝐶𝐸=29cm, area of 𝐸𝐷𝐵=841cm
  • D𝐴𝐵=15.23cm, 𝐶𝐸=7.62cm, area of 𝐸𝐷𝐵=116.05cm
  • E𝐴𝐵=15.23cm, 𝐶𝐸=7.62cm, area of 𝐸𝐷𝐵=58.03cm


In the square of the figure, 𝐴𝐵 is 160 cm long, what is the length of 𝑀𝐶?


Find the perimeter of the square 𝐴𝐵𝐶𝐷 below, and determine 𝑚𝐸𝐶𝐷 if 𝑚𝐵𝐶𝐸=70.

  • A240 cm, 90
  • B240 cm, 20
  • C120 cm, 45
  • D120 cm, 70


All squares .

  • Aare similar
  • Bhave the same area
  • Care not similar
  • Dare congruent


𝐴𝐵𝐶𝐷 is a square with area 128 cm2. Find 𝐶𝑂.

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