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A field is shaped like a square and has a perimeter of 120 m. What is the area of the field?
  • a)
    900 sq m
  • b)
    1200 sq m
  • c)
    3600 sq m
  • d)
    14400 sq m
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A field is shaped like a square and has a perimeter of 120 m. What is ...
Side length of the square = Perimeter / 4 = 120 m / 4 = 30 m. Area = Side length × Side length = 30 m × 30 m = 900 sq m.
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Most Upvoted Answer
A field is shaped like a square and has a perimeter of 120 m. What is ...
Understanding the Problem
To find the area of a square field, we first need to understand the relationship between its perimeter and area.
Calculating the Side Length
- The formula for the perimeter (P) of a square is given by:
P = 4 × side length (s)
- Given that the perimeter of the field is 120 m:
4s = 120 m
- To find the side length, we divide both sides by 4:
s = 120 m / 4
s = 30 m
Calculating the Area
- The formula for the area (A) of a square is:
A = side length (s) × side length (s)
- Substituting the calculated side length:
A = 30 m × 30 m
A = 900 sq m
Conclusion
- Therefore, the area of the field is 900 sq m.
The correct answer is option 'A'.
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