Question 267841
The perimeter is the measure all around a shape.  In other words, for a rectangle, you would add the following:


Length + Length + Width + Width = Perimeter.  You can rewrite that with "L" for length and "W" for width, which will be:


L + L + W + W = P


You are told that the length ("L") is 30 more than the width ("W").


So, the Length is 30 more than the width, which translated says:
The Length:  L
is:  =
30 more than the width:  30 + W  


This is:  L = 30 + W


Let's use L + L + W + W = P and everywhere you have an "L", let's replace it with what we know about "L" which is L = 30 + W.


Also, we will plug in what we know about "P" (perimeter).  We know the perimeter is 460.


L + L + W + W = P  (perimeter equation)
30 + W + 30 + W + W + W = 460  (see where we put in 30 + W everywhere there was an "L" variable?)
60 + 4W = 460 (see where we combined like terms?)
4W = 400 (subtract 60 from both sides to start to isolate the W)
W = 100 (divide both sides by 4 to isolate the W)


Now we know that the width is 100.
If the width is 100, then the length is 30 more than the width or:  100 + 30 which is 130.


Does this all work out?  Let's go back to our original equation and plug in what we know:



L + L + W + W = P

130 + 130 + 100 + 100 = 460


Our info checks out. :-)


I hope this helps you.