The sum of the lengths of 2 sides of a triangular field is 20m. The cost of fencing is Rs. 11 per meter. Which of the following cannot be the cost of fencing?Rs. 245Rs. 445Rs. 225Rs. 439
Question
The sum of the lengths of 2 sides of a triangular field is 20m. The cost of fencing is Rs. 11 per meter. Which of the following cannot be the cost of fencing?Rs. 245Rs. 445Rs. 225Rs. 439
Solution
To find the cost of fencing, we need to calculate the perimeter of the triangular field.
Let's assume the lengths of the two sides of the triangular field are x and y. According to the given information, x + y = 20m.
The perimeter of a triangle is the sum of all its sides. So, the perimeter of this triangular field is x + y + z, where z is the length of the third side.
Now, let's consider the cost of fencing. The cost is given as Rs. 11 per meter. So, the total cost of fencing is the product of the perimeter and the cost per meter, which is (x + y + z) * 11.
To determine which of the given options cannot be the cost of fencing, we need to substitute the values of x and y into the equation x + y = 20m and calculate the perimeter. Then, we can multiply the perimeter by 11 to find the cost of fencing for each option.
Let's calculate the perimeter and the cost of fencing for each option:
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For Rs. 245: Perimeter = (x + y + z) = 20m Cost of fencing = Perimeter * 11 = 20m * 11 = Rs. 220 Rs. 245 is not the cost of fencing.
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For Rs. 445: Perimeter = (x + y + z) = 20m Cost of fencing = Perimeter * 11 = 20m * 11 = Rs. 220 Rs. 445 is not the cost of fencing.
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For Rs. 225: Perimeter = (x + y + z) = 20m Cost of fencing = Perimeter * 11 = 20m * 11 = Rs. 220 Rs. 225 is not the cost of fencing.
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For Rs. 439: Perimeter = (x + y + z) = 20m Cost of fencing = Perimeter * 11 = 20m * 11 = Rs. 220 Rs. 439 is not the cost of fencing.
Therefore, none of the given options (Rs. 245, Rs. 445, Rs. 225, Rs. 439) can be the cost of fencing.
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