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?

1 Answer
Dec 24, 2015

Answer:

Length #11m# and width #7m#. The step by step explanation on working is given below.

Explanation:

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#