My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

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

Options:

  1. 100 cm²
  2. 200 cm²
  3. 160 cm²
  4. 80 cm²

Correct Answer: 100 cm²

Solution: 

Perimeter = 4 × side; side = 40 cm / 4 = 10 cm. Area = side² = 10 cm × 10 cm = 100 cm².

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

Practice Questions

Q1
A square has a perimeter of 40 cm. What is its area?
  1. 100 cm²
  2. 200 cm²
  3. 160 cm²
  4. 80 cm²

Questions & Step-by-Step Solutions

A square has a perimeter of 40 cm. What is its area?
Correct Answer: 100 cm²
  • Step 1: Understand that a square has 4 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: We are given that the perimeter is 40 cm. So, set up the equation: 40 cm = 4 × side.
  • Step 5: To find the length of one side, divide the perimeter by 4: side = 40 cm / 4.
  • Step 6: Calculate the side length: side = 10 cm.
  • Step 7: Now, to find the area of the square, use the formula: Area = side × side.
  • Step 8: Substitute the side length into the area formula: Area = 10 cm × 10 cm.
  • Step 9: Calculate the area: Area = 100 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.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks