Question

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.

Answer 1

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

Answer 2

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