The perimeter of a rectangle is 46 cm and its area is 120 cm². What is the length of its diagonal?

A. 13 cm

B. 23 cm

C. 17 cm

D. 19 cm

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc cgl Save WhatsApp Report

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Answer: C. 17 cm

Answer: (C) 17 cm

l + b = 23 and lb = 120, so l = 15, b = 8.

Diagonal = √(15² + 8²) = √289 = 17 cm.

Shortcut: d² = (l + b)² − 2lb = 529 − 240 = 289.

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

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