Mr. Mohankala purchased a plot for constructing his new house. The length and breadth of the plot are in the ratio 12:5at the rate rupee 100 per metre it cost him rupee 68000 to fence the plot. Find the dimensions of the plot
Answers
Answer: length = 240m , breadth = 100 m
Step-by-step explanation:
total cost = Rs 68,000
given rate of fencing = Rs 100 per m
therefore lenght of total fence = 68,000/100
= 680m = perimeter of plot ( since the fence is built around the perimeter)
given, ratio of lenth to breadth = 12:5
=> let length be 12x and breadth be 5x
=> Perimetre = 2x(12x+5x) = 34x
also 680= perimeter
therefore 680=34x
that is x = 20
hence length = 12x = 12x20 = 240 m
breadth = 5x = 5x20 = 100 m
Answer:l=240m&b=100m
Step-by-step explanation:
Total cost=Rs 68000
Rate to fence the plot=Rs100/m
Therefore , total area of plot=68000/100=680m^2
Also given that (l/b)=(12/5)
Now area of field= it's perimeter=2(l+b)
680=2(12x+5x)
Or, (680)/34=x
Or,x=20
Therefore l=12x=12×20=240m
And b=5l=5×20=100m