Question
Sahil jogs 6 times around a square field whose each side
measures 16 metres. Mohan jogs 4.5 rounds around a rectangular field whose length is 30 metres and breadth is 30% less than its length. If the difference in the distance covered is ‘R’ metres, then find the value of (R + 8)(R - 14).Solution
Perimeter of square = 4 × side So, distance covered by Sahil in 1 round = 4 × 16 = 64 metres Length of rectangle = 30 metres Breadth = 0.70 × 30 = 21 metres So, perimeter of rectangle = 2 × (30 + 21) = 2 × 51 = 102 metres Distance covered by Mohan = 4.5 × 102 = 459 metres Distance covered by Sahil = 6 × 64 = 384 metres ATQ, R = 459 - 384 = 75 Therefore, required value = (75 + 8)(75 - 14) = 83 × 61 = 5,063
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