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The perimeter of the top of a rectangular table is 28m., whereas its area is 48m². What is the length of its diagonal?
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- 5m.
- 10m.
- 12m.
- 12.5 m.
- 5m.
Correct Option: B
Using Rule 9,
Let the length = l m and breadth = b m.
∴ 2 (l + b) = 28
⇒ l + b = 14 ... (i)
l b = 48 ....(ii)
Now, (l – b)² = (l + b)² – 4lb
= (14)² – 4 × 48 [From (i) & (ii)]
= 196 – 192 = 4
⇒ l – b = 2 ....(iii)
∴ l = 8, b = 6
∴ Diagonal = √8² + 6² = 10 m.
