Rectangle from diagonal and breadth: The diagonal of a rectangle is 17 cm and its breadth is 8 cm. Find its perimeter (in cm).

Introduction / Context:Given a rectangle’s diagonal and one side, the other side follows from Pythagoras. The perimeter is then twice the sum of the two sides.

Given Data / Assumptions:

• Diagonal d = 17 cm.
• Breadth b = 8 cm.

Concept / Approach:Length l satisfies l^2 + b^2 = d^2. Solve for l, then compute perimeter P = 2(l + b).

Step-by-Step Solution:

Verification / Alternative check:Check back: 15^2 + 8^2 = 225 + 64 = 289 = 17^2 (consistent).

Why Other Options Are Wrong:92 and 84 double something else incorrectly; 42 undercounts.

Common Pitfalls:Using 2√(l^2 + b^2) as perimeter; that is incorrect—the perimeter is 2(l + b).

Final Answer:46