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Somesh wants to fence a rectangular fiel...

Somesh wants to fence a rectangular field of length 150 m and breadth 80 m with four rounds of rope. What is the total length of rope he must use?

A

460 m

B

1840 m

C

920 m

D

380 m

Text Solution

AI Generated Solution

The correct Answer is:
To find the total length of rope Somesh must use to fence a rectangular field with four rounds of rope, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the dimensions of the rectangular field**: - Length (L) = 150 m - Breadth (B) = 80 m 2. **Calculate the perimeter of the rectangle**: - The formula for the perimeter (P) of a rectangle is given by: \[ P = 2 \times (L + B) \] - Substitute the values of L and B: \[ P = 2 \times (150 + 80) = 2 \times 230 = 460 \text{ m} \] 3. **Determine the total length of rope for four rounds**: - Since Somesh wants to use four rounds of rope, we multiply the perimeter by 4: \[ \text{Total Length of Rope} = 4 \times P = 4 \times 460 = 1840 \text{ m} \] 4. **Final answer**: - The total length of rope Somesh must use is **1840 meters**.
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MTG IIT JEE FOUNDATION-MENSURATION-Exercise (Multiple Choice Questions) Level - I
  1. Perimeter of regular octagon is  .

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  2. The cost of fencing a 15 m xx 7m  rectangular park at * 45 per metre i...

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  3. If the area of a rectangle is 52.4 m^(2), then its possible dimensions...

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  4. The area of a square with perimeter 40 cm is .

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  5. Distance covered in moving 3 rounds of square park of side 5 m is .

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  6. What is the perimeter of a regular pentagon with a side of 3.5 cm ?

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  7. What is the area of a square having side of 21 cm ?

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  8. Which of the following is the area of the rectangle whose length is 4....

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  9. The length of each side of an equilateral triangle formed with a wire ...

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  10. The area of a rectangle is 108 cm^(2). If its length is 12 cm. The bre...

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  11. Somesh wants to fence a rectangular field of length 150 m and breadth ...

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  12. How many square metre of glass will be required for windows, which has...

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  13. The perimeter of a regular nonagon is 513 cm. How long is its each sid...

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  14. The perimeter of a rectangle is 200 cm and its breadth is 36 cm. Find ...

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  15. Find the area of square whose perimeter is 96 m.

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  16. If the area of a square is 144 cm^(2) and its perimeter is the same a...

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  17. What is the length of a rectangle with area 7 m^(2)and breadth 2.5 m?

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  18. The perimeter of a triangle is 115 cm. If two of its sides are 35 cm a...

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  19. A triangular garden needs to be fenced. If the length of the sides of ...

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  20. The cost of fencing a square field is Rs. 1976 at the rate of Rs. 26 p...

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