A square has a perimeter of 48 cm. What is the area of the square?

Practice Questions

Q1
A square has a perimeter of 48 cm. What is the area of the square?
  1. 144 cm²
  2. 64 cm²
  3. 36 cm²
  4. 100 cm²

Questions & Step-by-Step Solutions

A square has a perimeter of 48 cm. What is the area of the square?
  • Step 1: Understand that a square has four equal sides.
  • Step 2: Know that the perimeter of a square is calculated by adding all four sides together, which can also be expressed as 4 times the length of one side.
  • Step 3: Set up the equation for the perimeter: Perimeter = 4 × side. In this case, the perimeter is given as 48 cm.
  • Step 4: Write the equation: 48 = 4 × side.
  • Step 5: To find the length of one side, divide both sides of the equation by 4: side = 48 ÷ 4.
  • Step 6: Calculate the division: side = 12 cm.
  • Step 7: Now, to find the area of the square, use the formula: Area = side × side (or side²).
  • Step 8: Substitute the value of the side into the area formula: Area = 12 × 12.
  • Step 9: Calculate the area: Area = 144 cm².
  • Perimeter of a Square – The perimeter of a square is calculated by multiplying the length of one side by 4.
  • Area of a Square – The area of a square is calculated by squaring the length of one side.
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