Rectangle from perimeter and breadth:\nThe perimeter of a rectangle is 60 cm and its breadth is 14 cm. Find the area of the rectangle (in cm²).

Introduction / Context:
This problem combines the rectangle perimeter formula with the area formula. Once one dimension (breadth) and the perimeter are known, the other dimension (length) is immediate and area follows as length * breadth.

Given Data / Assumptions:

• Perimeter P = 60 cm.
• Breadth b = 14 cm.
• All measures are in centimetres.

Concept / Approach:
For a rectangle, P = 2(L + B). Hence L + B = P/2. Knowing B, compute L. Then Area = L * B. No special cases apply here because the numbers are integral and consistent.

Step-by-Step Solution:

Verification / Alternative check:
Check the perimeter using L = 16, B = 14: 2*(16 + 14) = 2*30 = 60 (matches). Therefore the dimensions are consistent, and the area 224 cm² is correct.

Why Other Options Are Wrong:
112, 336, 448 arise from partial products or doubling mistakes (e.g., mixing length with perimeter or forgetting the factor 2 in perimeter).

Common Pitfalls:
Using P = L + B instead of P = 2(L + B); using breadth directly with perimeter for area without first finding the correct length.

Final Answer:
224