The ratio of the length and breadth of a rectangular garden is 14 : 11 and its perimeter is 800 m. Its area is equal to the area of a circular field. What is the perimeter (in m) of the circular field? (Take π = ).
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Correct answer: D
Explanation
The correct answer is option 4 i.e. 704.
L = length, B = Breadth
Perimeter = 2(L +B)
⇒ 800 = 2(14x + 11x)
⇒ 25x = 400
⇒ x = 16
Length = 14x = 224
Breadth = 11x = 176
Area = length × breadth = 224 × 176 = 39424
Area of circle = Area of square
⇒ πr2 = 39424
⇒ r2 = 29424 × = 12544
⇒ r = 112
Perimeter of circle = 2πr
⇒ 2 × × 112 = 704 m