- 120 cm
- 140 cm
- 130 cm
- 160 cm

Option 3 : 130 cm

a^{2} + lb = 496

⇒ 14^{2} + 25b = 496

⇒ 196 + 25b = 496

⇒ 25b = 496 – 196

⇒ 25b = 300

⇒ b = 12 cm

Perimeter of square = 4a = 4 × 14 = 56 cm

Perimeter of rectangle = 2 × (l + b) = 2 × (25 + 12)

2 × 37 = 74 cm

Required sum = 56 + 74 = 130 cm

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