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The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres?
Options:
A .  60 m
B .  100 m
C .  75 m
D .  50 m
Answer: Option A

Answer : Option A

Explanation :

Length of the plot is 20 metres more than its breadth.
Hence, let's take the length as l metres and breadth as (l - 20) metres
Length of the fence = perimeter = 2(length + breadth)= 2[ l + (l - 20) ] = 2(2l - 20) metres
Cost per meter = Rs. 26.50
Total cost = 2(2l - 20) × 26.50
Total cost is given as Rs. 5300
=> 2(2l - 20) × 26.50 = 5300
=> (2l - 20) × 26.50 = 2650
=> (l - 10) × 26.50 = 1325
=> (l - 10) = 1325/26.50 = 50
=> l = 50 + 10 = 60 metres



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