The radius of the circle is 13 cm more than the breadth of a rectangle The area of the circle is 385...........

Quantitative Aptitude (SBI-PO) Mensuration 2D

The radius of the circle is 13 cm more than the breadth of a rectangle. The area of the circle is 3850 sq.cm. The circumference of the circle is equal to the perimeter of a rectangle. The area of the rectangle is equal to the area of a square. Find the perimeter of a square.

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SBI PO Prelims

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352 cm

164 cm

176 cm

188 cm

196 cm

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Explanation:

Correct option is 3: 176 cm
(Radius of circle)² = 3850 x (1/π)
Radius of a circle = 35 cm
Breadth of a rectangle = 35 - 13 = 22 cm
Circumference of a circle = 2m x 35 = 220 cm
Perimeter of a rectangle = 2(Length + Breadth)
Length of a rectangle = (220/2)-22 = 88 cm
Area of square = length x breadth = 88 x 22 = 1936 sq.cm Side of a square = (1936)1/2
Side of a square = 44 cm
Perimeter of a square = 4 × 44 = 176 cm