Correct Answer - Option 1 : 50 cm
Given:
Length = (x + 3) cm, Breadth = (x – 2) cm
Area of rectangle = 150 sq. cm
Formula used:
Area of rectangle = Length × Breadth
Calculation:
Area of rectangle = (x + 3) × (x – 2)
⇒ x2 + 3x – 2x – 6 = 150
⇒ x2 + x – 156 = 0
⇒ x2 + 13x -12x – 156 = 0
⇒ (x + 13)(x – 12) = 0
⇒ x = 12 or x ≠ - 13
So, Length = (x + 3) = 15 cm, Breadth = (x – 2) = 10 cm
∴ Perimeter of rectangle = 2(15 + 10) = 50 cm