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Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 20km/hr, then find the area of square field.
- a)125
- b)225
- c)325
- d)425
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Arya starts cycling along the boundaries of the squares. She starts fr...
D = 20*3/2 = 30 km. So side of square is 15km, so area – 225km2
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Arya starts cycling along the boundaries of the squares. She starts fr...
Problem: Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 20km/hr, then find the area of square field.
Solution:
Given,
- Arya starts cycling along the boundaries of the squares.
- She starts from a point A and after 90 minutes she reaches point C diagonally opposite to A.
- Her speed is 20km/hr.
Let's consider the below square ABCD with side length 'a' and point A as the starting point of Arya.
[insert image]
From the question, we can conclude that:
- Arya cycles along the boundary of the square, i.e., she covers the distance of all four sides of the square.
- Distance covered by Arya in 90 minutes (1.5 hours) = Speed x Time = 20 x 1.5 = 30 km
- Arya reaches the diagonally opposite point C after covering the distance of two adjacent sides of the square.
Now, let's calculate the distance between A and C.
- Distance between A and C = Length of the diagonal of the square
- Using Pythagoras theorem, diagonal length = √(a^2 + a^2) = a√2
As Arya covers two adjacent sides of the square,
- Distance between A and C = 2a
- Therefore, 2a = 30 km
- a = 15 km
Hence, the side length of the square is 15 km.
Area of the square = a^2 = 15^2 = 225 sq. km
Therefore, option 'B' is the correct answer.
Final Answer: Option 'B' (225 sq. km)
Solution:
Given,
- Arya starts cycling along the boundaries of the squares.
- She starts from a point A and after 90 minutes she reaches point C diagonally opposite to A.
- Her speed is 20km/hr.
Let's consider the below square ABCD with side length 'a' and point A as the starting point of Arya.
[insert image]
From the question, we can conclude that:
- Arya cycles along the boundary of the square, i.e., she covers the distance of all four sides of the square.
- Distance covered by Arya in 90 minutes (1.5 hours) = Speed x Time = 20 x 1.5 = 30 km
- Arya reaches the diagonally opposite point C after covering the distance of two adjacent sides of the square.
Now, let's calculate the distance between A and C.
- Distance between A and C = Length of the diagonal of the square
- Using Pythagoras theorem, diagonal length = √(a^2 + a^2) = a√2
As Arya covers two adjacent sides of the square,
- Distance between A and C = 2a
- Therefore, 2a = 30 km
- a = 15 km
Hence, the side length of the square is 15 km.
Area of the square = a^2 = 15^2 = 225 sq. km
Therefore, option 'B' is the correct answer.
Final Answer: Option 'B' (225 sq. km)
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Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 20km/hr, then find the area of square field.a)125b)225c)325d)425e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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