A square garden has a perimeter of 64 cm. What is its area in square centimeters?
Answer
256 cm^2
The correct answer is 256 cm^2 — Thus the area is 256 cm^2.
Step-by-step solution
- Let side length be s cm. For a square, perimeter = 4 × s.
- Set up the equation: 4s = 64.
- Solve for s: s = 64 ÷ 4 = 16 cm.
- Area of a square = s × s = 16 × 16.
- Compute: 16 × 16 = 256.
- Thus the area is 256 cm^2.
Common mistake: Using the whole perimeter as side length, or forgetting to divide by 4.
Concept tested: perimeter and area of a square
Published · How this solution was prepared and checked
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