What is the width of a rectangle if its perimeter is 216 centimeters and its width is 24 centimeters less than its length?

1 Answer

The width is 42 centimeters long and the length is 66 centimeter long

Explanation:

First of all, let's translate the problem into mathematical notation.
We have a rectangle whose width #w# and length #l# are unknowns.

The first condition is that the perimeter #p# is #216# cm long. The perimeter can be computed as twice the width plus twice the length, so:
#p=2w+2l Rightarrow 2w+2l=216#

The second condition is that #w# is #24# cm less than #l#, so:
#w=l-24#

Now we can substitute #w# from the second condition into the first and solve the equation:
#2w+2l=216#
#2(l-24)+2l=216#
#2l-48+2l=216#
#4l=264#
#l=66#

Let's plug #l=66# in the second condition and get
#w=l-24#
#w=66-24=42#