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.

ICSE Class 7 Answered

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 | 20 Sep, 2016, 10:48: AM

Expert Answer

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

Answered by | 20 Sep, 2016, 12:48: PM