Correct option is B
Given:
Suresh took 15 seconds to cross the field diagonally at 52 m/min.
Rajesh took 15 seconds to cross the field along its sides at 68 m/min.
Formula Used:
Let the sides of the rectangular field be x and y, and the diagonal be d.
From the Pythagorean theorem, d² = x² + y².
The area of the field = x × y.
Solution:
Distance Suresh traveled diagonally in 15 seconds = (52/60) × 15 = 13 meters (diagonal)
Total distance Rajesh traveled along the sides in 15 seconds = (68/60) × 15 = 17 meters (perimeter of two sides).
Let the length and width of the field be x and y.
x + y = 17 (from Rajesh's distance), and diagonal = 13 (from Suresh's distance).
By using the Pythagorean theorem:
d² = x² + y² = 13² = 169
(x + y)² = x² + y² + 2xy = 17² = 289
169 + 2xy = 289
2xy = 120,
So, the area of the field (xy) = 60 m².
Thus, the area of the field is 60 m².
Correct option is (b)
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