A person bought a rectangular piece of land whose length and breadth are in the ratio 7 : 5 If the cost of fencing the land is Rs 2,880 at the rate of Rs 15/m, then what is the length of the land?

Options
a) 56 m
b) 40 m
c) 60 m
d) 84 m

Solution

As per question
Length : Breadth = 7 : 5
Cost of fencing per m = 15 Rs.
Total cost of fencing = 2880 Rs.
Perimeter of rectangle = $\frac {2880}{15}$ = 192 m
Perimeter of rectangle = 2 x (l + b)
Let’s the length and breadth = 7x : 5x
Perimeter of rectangle = 2 x (l + b)|
192 = 2 x (7x + 5x)
192 = 2 x (12x)
$\frac {192}{2}$ = 12x
96 = 12x
x = 8
Length = $7x = 7 \times 8$ = 56 m

Answer: a) 56 m

A person bought a rectangular piece of land whose length and breadth are in the ratio 7 : 5 If the cost of fencing the land is Rs 2,880 at the rate of Rs 15/m, then what is the length of the land?

Solution

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