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Find the cost of fencing a rectangular f...

Find the cost of fencing a rectangular field 62 m long and 33m wide at Rs 16 per metre.

A

30400Rs.

B

Rs. 3040

C

Rs. 1520

D

Rs. 190

Text Solution

AI Generated Solution

The correct Answer is:
To find the cost of fencing a rectangular field that is 62 m long and 33 m wide at Rs 16 per meter, we will follow these steps: ### Step 1: Calculate the Perimeter of the Rectangle The formula for the perimeter (P) of a rectangle is given by: \[ P = 2 \times (L + B) \] where \( L \) is the length and \( B \) is the breadth. Given: - Length \( L = 62 \) m - Breadth \( B = 33 \) m Substituting the values into the formula: \[ P = 2 \times (62 + 33) \] ### Step 2: Simplify Inside the Parenthesis First, calculate the sum inside the parentheses: \[ 62 + 33 = 95 \] ### Step 3: Multiply by 2 to Get the Perimeter Now, multiply by 2: \[ P = 2 \times 95 = 190 \text{ m} \] ### Step 4: Calculate the Cost of Fencing The cost of fencing is calculated by multiplying the perimeter by the cost per meter. Given that the cost per meter is Rs 16: \[ \text{Cost} = \text{Perimeter} \times \text{Cost per meter} \] \[ \text{Cost} = 190 \times 16 \] ### Step 5: Perform the Multiplication Now, calculate the total cost: \[ 190 \times 16 = 3040 \] ### Final Answer The total cost of fencing the rectangular field is Rs 3040. ---
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