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A square has a perimeter of 40 cm. What is its area?
A square has a perimeter of 40 cm. What is its area?
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Practice Questions
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Q1
A square has a perimeter of 40 cm. What is its area?
100 cm²
200 cm²
160 cm²
80 cm²
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Perimeter = 4 × side; side = 40 cm / 4 = 10 cm. Area = side² = 10 cm × 10 cm = 100 cm².
Questions & Step-by-step Solutions
1 item
Q
Q: A square has a perimeter of 40 cm. What is its area?
Solution:
Perimeter = 4 × side; side = 40 cm / 4 = 10 cm. Area = side² = 10 cm × 10 cm = 100 cm².
Steps: 9
Show Steps
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.
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