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The diagonal of a rectangular field is 50 m and one of the sides is 48 m. If the cost of cutting the grass of the field is ` 24 per square metre, then the total cost of cutting all grass of the rectangular field is—
  • a)
    ` 8,420
  • b)
    ` 16,128
  • c)
    ` 16,218
  • d)
    ` 15,128
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The diagonal of a rectangular field is 50 m and one of the sides is 48...
To know the another side of rectangular field
AC2 = AB2 + BC2
(50)2 = 482 + BC2
         
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Most Upvoted Answer
The diagonal of a rectangular field is 50 m and one of the sides is 48...
To find the total cost of cutting the grass of the rectangular field, we need to find the area of the field first.

Let's assume the length of the field is L and the width of the field is W.

We know that the diagonal of the field is 50m, and using the Pythagorean theorem, we can find the relationship between the length, width, and diagonal of the rectangle:

L^2 + W^2 = diagonal^2
L^2 + W^2 = 50^2
L^2 + W^2 = 2500

We also know that one of the sides of the field is 48m, so we can substitute L = 48 into the equation:

48^2 + W^2 = 2500
2304 + W^2 = 2500
W^2 = 2500 - 2304
W^2 = 196
W = √196
W = 14

So the width of the field is 14m.

Now we can calculate the area of the field:

Area = Length * Width
Area = 48m * 14m
Area = 672m^2

The cost of cutting the grass is `24 per square meter, so the total cost of cutting all the grass of the rectangular field is:

Total Cost = Area * Cost per square meter
Total Cost = 672m^2 * `24/m^2
Total Cost = `16128
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The diagonal of a rectangular field is 50 m and one of the sides is 48 m. If the cost of cutting the grass of the field is ` 24 per square metre, then the total cost of cutting all grass of the rectangular field is—a)` 8,420b)` 16,128c)` 16,218d)` 15,128Correct answer is option 'B'. Can you explain this answer?
Question Description
The diagonal of a rectangular field is 50 m and one of the sides is 48 m. If the cost of cutting the grass of the field is ` 24 per square metre, then the total cost of cutting all grass of the rectangular field is—a)` 8,420b)` 16,128c)` 16,218d)` 15,128Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The diagonal of a rectangular field is 50 m and one of the sides is 48 m. If the cost of cutting the grass of the field is ` 24 per square metre, then the total cost of cutting all grass of the rectangular field is—a)` 8,420b)` 16,128c)` 16,218d)` 15,128Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diagonal of a rectangular field is 50 m and one of the sides is 48 m. If the cost of cutting the grass of the field is ` 24 per square metre, then the total cost of cutting all grass of the rectangular field is—a)` 8,420b)` 16,128c)` 16,218d)` 15,128Correct answer is option 'B'. Can you explain this answer?.
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