Square — Perimeter 68 cm: Find the area (in square centimetres).

Introduction / Context:Given a square’s perimeter, the side is perimeter/4. Area is side^2. This item is a quick application of square properties and arithmetic squaring of an integer side length.

Given Data / Assumptions:

• Perimeter P = 68 cm
• Side s = P/4
• Area A = s^2

Concept / Approach:Compute the side, then square it to get the area. Keep units in centimetres squared for the final answer to match options exactly.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 361 and 324 are 19^2 and 18^2, not 17^2.
• 284 and 269 are near misses from arithmetic errors.

Common Pitfalls:

• Dividing by 2 instead of 4 to find the side.

Final Answer:289 sq cm.