The perimeter of a rectangle is 36 meters. The length of the rectangle is 4 meters longer than the width. What is the length and width of the rectangle?

Length ##11m## and width ##7m##. The step by step explanation on working is given below.
Perimeter of rectangle is given by the formula ##P=2(l+w)##
From the information we use ##P = 36##.
Also given length is 4m longer than width, so if ##w## is width then ##l=w+4##
Let us setup the equation as
##36= 2(l+w)##
##36/2 = 2/2(l+w)##
##18 = l+w##
We know ##l=w+4## substituting this
##18=w+4+w##
Simplifying further
##18=2w+4##
##18-4=2w+4-4##
##14=2w##
##14/2=2w/2##
##7=w##
##w=7##
##l=w+4##
##l=7+4=11##
##l=11##
Answer length = ##11m## and width = ##7m##