The length and breadth of a rectangle are in the ratio 3: 2. It is enlarged by increasing the length by 2cm and now length and breadth are in the ratio 5: 8 .What are the length and breadth of the original rectangle ?
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Given, the length and breadth of a rectangle are in the ratio 3:2 respectively.
Then let the length and breadth of the rectangle be 3x,2x respectively.
If the sides of the rectangle are extended on each side by 1 m then length and breadth will be 3x+1 m and 2x+1 m.
According to the problem,
2x+1
3x+1
=
7
10
or, 20x+10=21x+7
or, x=3.
So length and breadth are 9,6 m respectively.
Now area of the rectangle be 9×6=54 m
2
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