IBPS SO Prelims Exam Model Paper 7

Given: Radius of the circle = 14 cm
Ratio of the perimeter of a circle to the perimeter of a rectangle is 22 : 23
Breadth of the rectangle = 18 cm
Formula used: Perimeter of the circle = 2πr
Perimeter of rectangle = 2 (Length + Breadth)
Calculation: Perimeter of circle = 2 (

22

7

) × 14
⇒ 2 × 22 × 2
⇒ 44 × 2
⇒ 88 cm
Perimeter of the rectangle = (

88

22

) × 23
⇒ 4 × 23
⇒ 92 cm
Length of rectangle,
⇒ 92 = 2 (Length + 18)
⇒ (Length + 18) =

92

2

⇒ (Length + 18) = 46
⇒ Length = 46 – 18
∴ Length of the rectangle = 28 cm