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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 Rs 24 per square metre then the total cost of cutting all grass of the rectangular field is
- a)Rs 8,420
- b)Rs 16,128
- c)Rs 16,218
- d)Rs 15,128
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The diagonal of a rectangular field is 50 m and one of the sides is 48...
The sides of the rectangle are 48 and 14 (by Pythagoras theorem)
Total cost of grass cutting is 48 x 14 x 24 = 16,128
Most Upvoted Answer
The diagonal of a rectangular field is 50 m and one of the sides is 48...
Given:
- The diagonal of the rectangular field is 50 m.
- One of the sides of the rectangular field is 48 m.
- The cost of cutting the grass of the field is Rs 24 per square metre.
To find:
The total cost of cutting all the grass of the rectangular field.
Let's solve this problem step by step:
1. Finding the other side of the rectangular field:
- We can use the Pythagorean theorem to find the other side of the rectangular field.
- According to the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
- In this case, the diagonal of the field is the hypotenuse, and the sides of the field are the other two sides of the right-angled triangle.
- So, using the Pythagorean theorem, we can find the other side of the rectangular field:
a^2 + b^2 = c^2
where a and b are the sides of the field, and c is the diagonal.
48^2 + b^2 = 50^2
2304 + b^2 = 2500
b^2 = 2500 - 2304
b^2 = 196
b = √196
b = 14 m
- Therefore, the other side of the rectangular field is 14 m.
2. Finding the area of the rectangular field:
- The area of a rectangle is given by the formula: Area = length × width.
- In this case, the length of the field is 48 m and the width is 14 m.
- So, the area of the rectangular field is:
Area = 48 × 14
Area = 672 square meters
3. Finding the total cost of cutting all the grass:
- The cost of cutting the grass is given as Rs 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 = 672 × 24
Total Cost = Rs 16,128
Therefore, the correct answer is option 'B' - Rs 16,128.
- The diagonal of the rectangular field is 50 m.
- One of the sides of the rectangular field is 48 m.
- The cost of cutting the grass of the field is Rs 24 per square metre.
To find:
The total cost of cutting all the grass of the rectangular field.
Let's solve this problem step by step:
1. Finding the other side of the rectangular field:
- We can use the Pythagorean theorem to find the other side of the rectangular field.
- According to the Pythagorean theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
- In this case, the diagonal of the field is the hypotenuse, and the sides of the field are the other two sides of the right-angled triangle.
- So, using the Pythagorean theorem, we can find the other side of the rectangular field:
a^2 + b^2 = c^2
where a and b are the sides of the field, and c is the diagonal.
48^2 + b^2 = 50^2
2304 + b^2 = 2500
b^2 = 2500 - 2304
b^2 = 196
b = √196
b = 14 m
- Therefore, the other side of the rectangular field is 14 m.
2. Finding the area of the rectangular field:
- The area of a rectangle is given by the formula: Area = length × width.
- In this case, the length of the field is 48 m and the width is 14 m.
- So, the area of the rectangular field is:
Area = 48 × 14
Area = 672 square meters
3. Finding the total cost of cutting all the grass:
- The cost of cutting the grass is given as Rs 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 = 672 × 24
Total Cost = Rs 16,128
Therefore, the correct answer is option 'B' - Rs 16,128.
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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 Rs 24 per square metre then the total cost of cutting all grass of the rectangular field isa)Rs 8,420b)Rs 16,128c)Rs 16,218d)Rs 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 Rs 24 per square metre then the total cost of cutting all grass of the rectangular field isa)Rs 8,420b)Rs 16,128c)Rs 16,218d)Rs 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 Rs 24 per square metre then the total cost of cutting all grass of the rectangular field isa)Rs 8,420b)Rs 16,128c)Rs 16,218d)Rs 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 Rs 24 per square metre then the total cost of cutting all grass of the rectangular field isa)Rs 8,420b)Rs 16,128c)Rs 16,218d)Rs 15,128Correct answer is option 'B'. Can you explain this answer?.
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 Rs 24 per square metre then the total cost of cutting all grass of the rectangular field isa)Rs 8,420b)Rs 16,128c)Rs 16,218d)Rs 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 Rs 24 per square metre then the total cost of cutting all grass of the rectangular field isa)Rs 8,420b)Rs 16,128c)Rs 16,218d)Rs 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 Rs 24 per square metre then the total cost of cutting all grass of the rectangular field isa)Rs 8,420b)Rs 16,128c)Rs 16,218d)Rs 15,128Correct answer is option 'B'. Can you explain this answer?.
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