there is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4.At the rate rs100 per metre it will cost the village panchayat rs75000 to fence the plot. what are the dimension of the plot.
Answers
let the length of the plot be 11x
let the breadth of the plot be 4x
rectangular plot =2(l+b)
=2(11x + 4x ) 100
=75000
2(15x) =75000/100
15x=750/2
15x=375
x=375/15
x=25
so, the length = 11 x 25
275
breadth =4×25
100
so length =275
breadth=100
Step-by-step explanation:
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Answer:
Let the ratio be 11x:4x.
Total cost = Rs.75000
Cost per metre = Rs.100
Hence, perimeter of plot = (75000/100) m = 750m
Perimeter = 2 (l+b)
=> 750 = 2 (11x + 4x)
=> 750 = 2 (15x)
=> 750 = 30x
=> x = 25
Hence, length of plot = 11 × 25 = 275m
Breadth of plot = 4 × 25 = 100m