The length of the rectangle 4/7^{th} of the radius of a Circle. The radius of a circle is 2/3^{rd} of the side of a square. The perimeter of a square is 84 cm. The perimeter of a rectangle is 36 cm. The area of the rectangle is what percent less than the area of a circle?

Option 1 : 87%

IBPS RRB Officer Scale- I Prelims Full Mock Test

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80 Questions
80 Marks
45 Mins

Given:

Perimeter of a square = 84 cm

Perimeter of a rectangle = 36 cm

Formula:

The perimeter of a square = 4 × side of a square

Perimeter of a rectangle = 2(length + breadth)

Area of a square = side^{2}

Area of a rectangle = length × breadth

Calculation:

Side of a square = 84/4 = 21 cm

Radius of a circle = 21 × 2/3 = 14 cm

Length of a rectangle = 14 × 4/7 = 8 cm

Breadth of a rectangle = 36/2 – 8 = 10 cm

Area of a circle = 22/7 × 14 × 14 = 616 sq. cm

Area of a rectangle = 8 × 10 = 80 sq. cm

Required percentage =

⇒ 80 = 616 – 616 × ?/100

⇒ ? = 87.01%

**Tricks:**

Required percentage = (616 – 80)/616 × 100 = 87.01%