Mathematics

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?

Created: 2 months ago | Updated: 1 month ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) Combined 5 Banks || Officer (Cash) (28-05-2022) || 2022 গণিত
79
Add Description

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 = 1200 × 860 = 1600 meters

Now, we get, 10x = 1600

⇒ x =  160010= 160

∴   Area of the rectangle = 6x2 = (6 × 160 × 160) sq.m = 1,53,600 sq.m. 

2 months ago
0 0
স্বপ্নদর্শী
Verified

Related Questions

Solve the following problems:

A man engaged a worker on the condition that he would pay him Tk.30,000 and one uniform after one year of service. The worker served only 9 months and got Tk 22,000 and a uniform. What is the price of the uniform?

Created: 2 months ago | Updated: 1 month ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ব্যাংক ।। অফিসার জেনারেল (31-03-2023) || 2023 গণিত
135
Add Description

Solve the following problems:

The price of 3 horses is same as the cost of 5 cows. If total cost of 4 horses and 6 cows is Tk 1900, find the cost of one horse.

Created: 2 months ago | Updated: 1 month ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ব্যাংক ।। অফিসার জেনারেল (31-03-2023) || 2023 গণিত
139
Add Description

Solve the following problems:

A man won a lottery of Tk.20,00,000. He gave 2/5 of the amount to his wife and 1/4 of the balance to his son. He donated 2/9 of the balance amount. How much money was donated?

Created: 2 months ago | Updated: 1 month ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ব্যাংক ।। অফিসার জেনারেল (31-03-2023) || 2023 গণিত
148
Add Description

Solve the following problems:

Reena took loan of Tk 1200 at simple interest rate for as many years as the rate of interest. If she paid Tk.432 as interest at the end of the loan period, what is the rate of interest?

Created: 2 months ago | Updated: 1 month ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ব্যাংক ।। অফিসার জেনারেল (31-03-2023) || 2023 গণিত
159
Add Description

Solve the following problems:

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, then what is the area of the triangle?

Created: 2 months ago | Updated: 1 month ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ব্যাংক ।। অফিসার জেনারেল (31-03-2023) || 2023 গণিত
158
Add Description