Question
Length and breadth of a rectangular field is (x + 5) cm
and (x β 4) cm, respectively. If the cost of ploughing the field at a rate of Rs. 7 per cmΒ² is Rs. 3087, then find the cost of fencing the field at a rate of Rs. 18 per cm.Solution
ATQ, Area of the field = 3087/7 = 441 cmΒ² So, (x + 5)(x β 4) = 441 Or, xΒ² + x β 441 = 0 Or, xΒ² + 21x β 20x β 441 = 0 Or, x(x + 21) β 21(x + 21) = 0 Or, (x + 21)(x β 21) = 0 So, x = 21 Perimeter of the field = 2 Γ {(21 + 5) + (21 β 4)} = 86 metres Desired cost = 86 Γ 18 = Rs. 1548
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