What is the perimeter of a semicircle? I. The radius of the semicircle equals half the side of a square. II. The area of the square is 196 sq cm.

Introduction / Context:
The goal is to compute a numeric perimeter for a semicircle. Conventionally, the perimeter of a semicircle includes the curved length plus the diameter: P = π*r + 2*r. We must see whether the given statements fix r uniquely.

Given Data / Assumptions:

• I: r = (side of square)/2.
• II: Area of square = 196 sq cm ⇒ side = 14 cm.

Concept / Approach:
Use II to get the square’s side numerically; use I to link that side to r; then compute P = π*r + 2*r.

Step-by-Step Solution:

Verification / Alternative check:
Some texts ask for curved length only (π*r); here “perimeter” explicitly includes the straight edge (diameter), which is standard for perimeter.

Why Other Options Are Wrong:

• A/B/C/D: Neither I nor II alone is enough; together they are.

Common Pitfalls:
Omitting the diameter; misreading II as radius instead of side.

Final Answer:
Both statements together are sufficient, but NEITHER alone is sufficient.