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The length and the breadth of a rectangu...

The length and the breadth of a rectangular field are 240 m and 180 m respectively. It is fenced with three rounds of a rope. Find the length of the rope.

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To find the length of the rope used to fence the rectangular field, we need to follow these steps: ### Step 1: Identify the dimensions of the rectangular field - The length (L) of the rectangular field is given as 240 m. - The breadth (B) of the rectangular field is given as 180 m. ### Step 2: Calculate the perimeter of the rectangular field The formula for the perimeter (P) of a rectangle is: \[ P = 2 \times (L + B) \] Substituting the values: \[ P = 2 \times (240 + 180) \] ### Step 3: Simplify the expression inside the parentheses First, calculate the sum of the length and breadth: \[ 240 + 180 = 420 \] ### Step 4: Multiply by 2 to find the perimeter Now, substitute back into the perimeter formula: \[ P = 2 \times 420 = 840 \, \text{m} \] ### Step 5: Calculate the total length of the rope Since the rope is used to fence the field three times, we multiply the perimeter by 3: \[ \text{Length of rope} = 3 \times P = 3 \times 840 \] ### Step 6: Perform the multiplication Now, calculate the total length of the rope: \[ 3 \times 840 = 2520 \, \text{m} \] ### Final Answer The length of the rope used to fence the rectangular field is **2520 meters**. ---
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Knowledge Check

  • The length and breadth of a rectangular fields are 120 m and 80 m respectively . Inside the field , a part of 12 m width is made around the field. The area of the park is :

    A
    `2358 m^(2) `
    B
    `7344 m^(2) `
    C
    `4224 m^(2) `
    D
    `3224 m^(2) `
  • The length and breadth of a rectangular field are 120 m and 80 m respectively. Inside the field, a park of 12 m width is made around the field. The area of the park is :

    A
    `2358 m^2`
    B
    `7344 m^2`
    C
    `4224 m^2`
    D
    `3224 m^2`
  • The length and breadth of a rectangular field are 4 m and 3 m, respectively. The field is divided into two parts by fencing it diagonally. Find the cost of fencing at Rs. 10 per metre.

    A
    Rs.50
    B
    Rs.30
    C
    Rs.40
    D
    Rs.70
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