The triangular side walls of a flyover have been used for advertisemen...
Triangular Side Walls of the Flyover
The triangular side walls of a flyover have been utilized for advertisement purposes. The lengths of the sides of the walls are given as 122 m, 22 m, and 120 m. The advertisements on these walls generate earnings of Rs. 5000 per square meter per year. Let's calculate the rent paid by a company that has hired one of these walls for 3 months.
Calculation of Area
To determine the rent, we first need to calculate the area of the triangular wall. The formula to find the area of a triangle is:
Area = (base * height) / 2
In this case, the base and height of the triangle are not given directly. However, we can use Heron's formula to calculate the area using the lengths of the sides. Heron's formula states:
Area = √(s * (s - a) * (s - b) * (s - c))
Where 'a', 'b', and 'c' are the lengths of the sides of the triangle, and 's' is the semi-perimeter given by:
s = (a + b + c) / 2
Let's calculate the semi-perimeter first:
s = (122 + 22 + 120) / 2
s = 264 / 2
s = 132
Now, we can calculate the area using Heron's formula:
Area = √(132 * (132 - 122) * (132 - 22) * (132 - 120))
Area = √(132 * 10 * 110 * 12)
Area = √1742400
Area ≈ 1319.80 square meters
Calculation of Rent
Since the advertisement on the wall generates earnings of Rs. 5000 per square meter per year, we need to calculate the rent for a 3-month period.
First, we need to find the earnings for one year:
Earnings = Area * Earnings per square meter per year
Earnings = 1319.80 * 5000
Earnings = Rs. 6,599,000
Next, we calculate the earnings for 3 months:
Earnings for 3 months = (Earnings for one year / 12) * 3
Earnings for 3 months = (6,599,000 / 12) * 3
Earnings for 3 months ≈ Rs. 1,099,833.33
Therefore, the rent paid by the company for hiring the wall for 3 months would be approximately Rs. 1,099,833.33.
Conclusion
In conclusion, the company would pay a rent of approximately Rs. 1,099,833.33 for hiring one of the triangular side walls of the flyover for a period of 3 months. The rent is calculated based on the area of the wall, which is determined using Heron's formula and the lengths of the sides. The earnings generated by the advertisement on the wall, which is Rs. 5000 per square meter per year, are used to calculate the rent for the given time period.
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