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A square has a perimeter of 40 m. What is its area?
A square has a perimeter of 40 m. What is its area?
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Practice Questions
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Q1
A square has a perimeter of 40 m. What is its area?
100 m²
200 m²
160 m²
80 m²
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Side = perimeter/4 = 40 m/4 = 10 m. Area = side² = (10 m)² = 100 m².
Questions & Step-by-step Solutions
1 item
Q
Q: A square has a perimeter of 40 m. What is its area?
Solution:
Side = perimeter/4 = 40 m/4 = 10 m. Area = side² = (10 m)² = 100 m².
Steps: 8
Show Steps
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.
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