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The length of a rectangular park is three times its breadth. If the perimeter of the park is 192 metres, find the dimensions of the park.



Asked by Topperlearning User 20th September 2016, 10:48 AM
Answered by Expert

begin mathsize 12px style Let space the space breadth space of space the space park equals straight x space straight m
then space its space length equals 3 straight x
Perimeter equals 192 space straight m
According space to space the space condition comma
2 left parenthesis 3 straight x plus straight x right parenthesis equals 192... left parenthesis Since space 2 left parenthesis straight l plus straight b right parenthesis equals straight P right parenthesis
rightwards double arrow 2 left parenthesis 4 straight x right parenthesis equals 192
rightwards double arrow 8 straight x equals 192
rightwards double arrow straight x equals 24
Hence comma space breadth space of space the space rectangle equals 24 space straight m
and space length equals 24 cross times 3 equals 72 space straight m end style

Answered by Expert 20th September 2016, 12:48 PM
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