The breadth of a rectangle is equal to four – fifth the side of a square. The diameter of the circle is equal to the side of the square. If the circumference of the circle is 220 cm, what is the perimeter of rectangle if its length is 60 cm?
Solution
Correct Answer: Option C
Circumference of circle = 220 cm
∴ 2πr = 220
⇒ r = 35 cm
∴ Diameter = 2 × r = 2 × 35 = 70 cm
⇒ Side of square = diameter = 70 cm
⇒ Breadth of rectangle = (4/5) × side of square
⇒ Breadth of rectangle = (4 × 70)/5 = 56 cm
Length of rectangle = 60 cm
∴ Perimeter of rectangle = 2 × (length + breadth)
⇒ Perimeter of rectangle = 2 × (56 + 60) = 2 × 116
⇒ Perimeter of rectangle = 232 cm
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