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A rectangular carpet has an area of 120 m² and a perimeter of 46 metre. The length of its diagonal is :
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- 23 metre
- 13 metre
- 17 metre
- 21 metre
- 23 metre
Correct Option: C
Using Rule 9, 
Let the length of carpet be l metre and breadth be b metre.
∴ Diagonal = √l² + b² ...(i)
According to the question, lb = 120
and, 2 (l + b) = 46
⇒ l + b = 23
On squaring both sides, (l + b)² = 23²
⇒ l2 + b² + 2lb = 529
⇒ l2 + b² + 2 × 120 = 529
⇒ l2 + b² = 529 – 240 = 289
⇒ √l² + b² = √289 = 17 metre
= Diagonal of the carpet
