SOLUTION: if the perimeter of a rectangle is 460 ft the length of the rectangle is 30 more than the wight. how to you find the wight?

Question 267841: if the perimeter of a rectangle is 460 ft the length of the rectangle is 30 more than the wight. how to you find the wight?
Answer by PRMath(133) (Show Source): You can put this solution on YOUR website!
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.
RELATED QUESTIONS
translate to a algebratic equation then solve. the lenght of a rectangle is six units... (answered by rfer)

The length of a rectangle is 50 ft. The perimeter of the rectangle is 275 ft. more than... (answered by checkley71,marcsam823)

The length of a rectangle is 2 ft more than the width. Find the dimensions if the... (answered by rfer)

The length of a rectangle is 6 in. more than twice its width. If the perimeter of the... (answered by Earlsdon)

The perimeter of a rectangle is 14 ft. If the length of the rectangle is 1 ft less than... (answered by hamsanash1981@gmail.com)

A rectangle has a length that is 50 feet more than twice it's width. Find the length of... (answered by ben720)

the perimeter of a rectangle is 30 m more than three times its width. if the perimeter is (answered by ewatrrr)

The width of a rectangle is 25 centimeters. Find all possible values for the length of... (answered by KMST)

The length of a rectangle is three more than twice the width. If the perimeter of the... (answered by TimothyLamb)