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Question

The length and breadth of a rectangular field are in the ratio 5:4. If its perimeter is 108m, find the dimensions of the field.


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Solution

Let, the constant term of the ratio be x,

Length of the rectangular field =5x

The breadth of the rectangular field =4x

The perimeter of the rectangular field =108m

2(length + breadth) =108m

2(5x+4x) =108m

2×9x =108m

18x =108m

x =10818

x = =6

Length of the rectangular field =5x

=5×6m

=30m

Breadth of the rectangular field =4x

=4×6m

=24m


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