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l maw coues a diagonal of a smase in 2mins wlth Apees of3 km Ihr, then -Arcaof gjareis |
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Answer» Given data:Speed of the man = 6 km/hr = (3 x 1000) / 3600 = 0.83m/secTime = 2 min = 2 x 60 = 120 secArea of the square = ?Solution:As it is given that man crosses the diagonal of square with a speed of 0.83 m/sec.In 2 min or 120 sec, the man will go = 0.83 x 120 = 99.6 mThis means that the diagonal of the square field = 99.6 mWe know that,Diagonal of square field = Side square field x√ 299.6 = Side of square field x√ 2Side of square field = 99.6 /√2Side of square field = 99.6 / 1.4142Side of square field = 70.63 mArea of square field = (Side of square field)²Area of square field = (70.63)²Area of square field = 4988.59 m²Which shows that the area of the square field is 4988.59 m² ~ 5000m^2 any short cut Solution Length of diagonal = distance covered in 2 min= 3600/60 * 2 = 100 mArea of the field = 1/2 (diagonal)^2 = 1/2 * 100 * 100= 5000 m^2 = 50 ares |
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