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The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

115360
2153600
330720
4307200

Answer:- 1

Explanation:-

Solution:

Perimeter = Distance covered in 8 min. =

(\frac{12000}{60} \times 8) m = 1600 m

$\left( {\frac{{12000}}{{60}} \times 8} \right)m = 1600\,m$ Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Therefore Length = 480 m and Breadth = 320 m.
Therefore Area = (480 x 320) m² = 153600 m².

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Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Therefore Length = 480 m and Breadth = 320 m.
Therefore Area = (480 x 320) m² = 153600 m². ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Perimeter = Distance covered in 8 min. =

(\frac{12000}{60} \times 8) m = 1600 m

$\left( {\frac{{12000}}{{60}} \times 8} \right)m = 1600\,m$ Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Therefore Length = 480 m and Breadth = 320 m.
Therefore Area = (480 x 320) m² = 153600 m². ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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