Question #22517

2 Answers
Nov 6, 2017

#15m, 10m#

Explanation:

Let
#l#= the length od the garden
#2/3l#= the width of the garden

P= 2length + 2width = 50

#50= 2l+2(2/3l)#

Simplifying further,
#50=2l+4/3l#
#50=10/3l#
#l=15#

#width=2/3l#
#width=2/3*15#
#width=10#

Nov 6, 2017

Length = 15 metres
Width = 10 metres

Explanation:

Perimeter of rectangle #= 2(l + b)#

#50 m = 2(l + b)# ……[1]

#50 m = 2(l + 2/3l)#

#50 m = (10l)/3#

#l = 15 m#

Substitute #l=15m# in equation [1]

#50 m = 2(15 + b)#

#50/2m = 15 + b#

#b = 10m#