A carpenter puts a beading around a wooden table whose length and breadth are in the ratio of 7:3. If the total cost of putting the beading is Rs.1200 at the rate of Rs.30 per metre, find the dimensions of the table.
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total cost = 1200
rate = 30 per metre
therefore, total distance covered by beading = 1200/30 = 40 metre
ratio = 7:3
let common factor be x then,
ratio = 7x : 3x
total area covered by beading = perimeter of table
40 metre = 2(7x + 3x)
40 = 20x
x = 2
therefore, length of table = 7x = 7*2 = 14 metre
breadth of table = 3x = 3*2 = 6 metre
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Answer:
Let the length=7x
let the breath=3x
total distance covered by beading=1200/30=40
ATQ
40 = 2(7x+3x)
40=20x
40/20=x
2=x
length=7*2=14m
breath=3*2=6m
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