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Rohit starts cycling along the boundaries of the squares. He starts from a point A and after 90 minutes he reached to point C diagonally opposite to A. If he is travelling with 20km/hr, then find the area of square field.
- a)150
- b)225
- c)350
- d)455
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Rohit starts cycling along the boundaries of the squares. He starts fr...
D = 20*3/2 = 30 km. So side of square is 15km, so area – 225km2
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Rohit starts cycling along the boundaries of the squares. He starts fr...
Understanding the Problem
Rohit cycles along the boundary of a square field, starting from point A and reaching point C diagonally opposite to A after 90 minutes at a speed of 20 km/hr. We are tasked to find the area of the square field.
Calculating Distance Traveled
- Rohit travels for 90 minutes, which is equivalent to 1.5 hours.
- Using the speed-distance-time relationship:
- Distance = Speed × Time
- Distance = 20 km/hr × 1.5 hr = 30 km
Understanding the Square's Properties
- In a square, the diagonal (AC) can be calculated using the formula:
- Diagonal = Side × √2
- Since Rohit travels from A to C, the distance he covered (30 km) is the diagonal of the square.
Finding the Side Length of the Square
- From the diagonal formula, we can express the side length (s) of the square:
- 30 km = s × √2
- Therefore, s = 30 km / √2 = 30√2 / 2 = 15√2 km
Calculating the Area of the Square
- The area (A) of the square is given by:
- Area = Side²
- Area = (15√2)² = 15² × 2 = 225 km²
Conclusion
- Thus, the area of the square field is 225 km², confirming that the correct answer is option 'B'.
Rohit cycles along the boundary of a square field, starting from point A and reaching point C diagonally opposite to A after 90 minutes at a speed of 20 km/hr. We are tasked to find the area of the square field.
Calculating Distance Traveled
- Rohit travels for 90 minutes, which is equivalent to 1.5 hours.
- Using the speed-distance-time relationship:
- Distance = Speed × Time
- Distance = 20 km/hr × 1.5 hr = 30 km
Understanding the Square's Properties
- In a square, the diagonal (AC) can be calculated using the formula:
- Diagonal = Side × √2
- Since Rohit travels from A to C, the distance he covered (30 km) is the diagonal of the square.
Finding the Side Length of the Square
- From the diagonal formula, we can express the side length (s) of the square:
- 30 km = s × √2
- Therefore, s = 30 km / √2 = 30√2 / 2 = 15√2 km
Calculating the Area of the Square
- The area (A) of the square is given by:
- Area = Side²
- Area = (15√2)² = 15² × 2 = 225 km²
Conclusion
- Thus, the area of the square field is 225 km², confirming that the correct answer is option 'B'.
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Rohit starts cycling along the boundaries of the squares. He starts from a point A and after 90 minutes he reached to point C diagonally opposite to A. If he is travelling with 20km/hr, then find the area of square field.a)150b)225c)350d)455e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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