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##