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A square has a perimeter of 40 m. What is its area?

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Question: A square has a perimeter of 40 m. What is its area?

Options:

  1. 100 m²
  2. 200 m²
  3. 160 m²
  4. 80 m²

Correct Answer: 100 m²

Solution: 

Side = perimeter/4 = 40 m/4 = 10 m. Area = side² = (10 m)² = 100 m².

A square has a perimeter of 40 m. What is its area?

Practice Questions

Q1
A square has a perimeter of 40 m. What is its area?
  1. 100 m²
  2. 200 m²
  3. 160 m²
  4. 80 m²

Questions & Step-by-Step Solutions

A square has a perimeter of 40 m. What is its area?
Correct Answer: 100 m²
  • Step 1: Understand that a square has four equal sides.
  • Step 2: Know that the perimeter of a square is the total length around it, which is calculated as 4 times the length of one side.
  • Step 3: Use the formula for perimeter: Perimeter = 4 × Side.
  • Step 4: Since the perimeter is given as 40 m, set up the equation: 40 m = 4 × Side.
  • Step 5: To find the length of one side, divide the perimeter by 4: Side = 40 m / 4 = 10 m.
  • Step 6: Now that you have the length of one side (10 m), you can find the area of the square.
  • Step 7: Use the formula for area: Area = Side × Side or Area = Side².
  • Step 8: Calculate the area: Area = (10 m) × (10 m) = 100 m².
  • Perimeter of a Square – The perimeter of a square is calculated by adding the lengths of all four sides, which is four times the length of one side.
  • Area of a Square – The area of a square is calculated by squaring the length of one side.
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