INR 5300 is spent to make fencing, at the rate of INR 26.50 per meter, of the garden with the length is 20 meter more than its width. Find the cost to put a lawn in the garden with the rate of INR 10 per sq. meter.
Option:
A. 8000 INR
B. 24000 INR
C. 80000 INR
D. 99000 INR
Answer: B . 24000 INR
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Justification:
The garden has the width = W.
The garden has the length = L = W + 20.
The perimater of the garden P = 2 * (L + W) = 2 * (W + 20 + W) = 2 * (2W + 20)
The cost of the fencing = 26.50 * P
=> 26.50 * 2 * (2W + 20) = 5300
=> 53 * (2W + 20) = 5300
=> 2W + 20 = 100 => 2W = 80 => W = 40 => L = W +20 = 60
The area of the garden A = L * W = 60 * 40 = 2400 Sq. meter
The cost to put a lawn in the garden = 10 * A = 10 * 2400 = 24000 INR
