Difficulty: Easy
Correct Answer: 46
Explanation:
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:
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
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