Question #36723

1 Answer
Feb 5, 2018

See explanation.

Explanation:

Let length be #l#, and width - #w#. The given information can be writtn as a system:

#{(l=2w+3),(2l+2w=96):}#

First we can divide the second equation by #2#:

#{(l-2w=3),(l+w=48):}#

If we subtract both sides ofthe equations we get:

#-3w=-45 => w=15#

Now we can substitute the calculated width to the second equation:

#l+15=48=>l=33#

This gives us the solution:

The length of the rectangle is #l=33#, and the width: #w=15#.