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 12km/hour completes one round in 8 minutes, then what is the area of the park in square meters?

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Satt Academy · Accepted Answer

প্রশ্নে বলা হচ্ছে, একটি আয়তাকার পার্কের দৈর্ঘ্য : প্রস্থ = 3 : 2. এক ব্যক্তি পার্কের রাস্তা ধরে যদি 12 কিমি/ঘণ্টা বেগে সাইকেল চালান এবং ৪ মিনিটে যদি 1 Round দেন তবে পার্কের Area কত?

Given that, length : breadth = 3 : 2

Let, the length of the rectangle be 3x and the breadth of the rectangle be 2x.

∴ The Area = 3xx 2x=6x2 and the perimeter = 2(3x+2x) = 10x.

Now, In 60 minutes the man covers 12km = 12000 meters.

∴ In 8 minutes the man covers 12km $= \frac{1200 \times 8}{60} = 1600 m e t e r s$

Now, we get, 10x = 1600

$\Rightarrow x = \frac{1600}{10} = 160$

$∴ A r e a o f t h e r e c \tan g l e = 6 x^{2} = (6 \times 160 \times 160) s q . m = 1, 53, 600 s q . m .$

= 1200 × 860 = 1600 metersNow, we get, 10x = 1600 ⇒ x =  160010= 160 ∴   Area of the rectangle = 6x2 = (6 × 160 × 160) sq.m = 1,53,600 sq.m.

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 12km/hour completes one round in 8 minutes, then what is the area of the park in square meters?

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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 12km/hour completes one round in 8 minutes, then what is the area of the park in square meters?

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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 12km/hour completes one round in 8 minutes, then what is the area of the park in square meters?

Question: 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 12km/hour completes one round in 8 minutes, then what is the area of the park in square meters?

গণিত

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1 . দুইটি সংখ্যার গ. সা. গু ২১ এবং ল. সা. গু ৪৬৪১। একটি সংখ্যা ২০০ ও ৩০০ এর মধ্যবর্তী; | অপরটি কত?

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Hi, আমি SATT AI!

Question:
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 12km/hour completes one round in 8 minutes, then what is the area of the park in square meters?