SOLUTION: The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 . length+2 .

Algebra ->  Equations -> SOLUTION: The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 . length+2 .      Log On


   

Question 1204241: The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 . length+2 . width=48. find the length in centimeters if width is w centimeters.
Found 4 solutions by MathLover1, josgarithmetic, greenestamps, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

what is the width is w=?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The problem description is much inferior. Nobody reading it would know what is "equation 2".

Width is 48?

No. Your description is nonsense.
Width of 48 AND perimeter of 48, impossible.

Make the effort to write the description properly

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Granted, the presentation of the problem is very poor....

The given equation uses "." to represent multiplication, which is very confusing. It simply states the obvious -- that the perimeter is twice the length plus twice the width.

And "find the length in centimeters" suggests that a numerical answer is possible, which it is not. We can only use the equation to find an expression for the length in terms of the width w.

l = length
w = width

perimeter = 2(l)+2(w) = 48

Find AN EXPRESSION FOR the length l if the width is w (solve the equation for l).

2l%2B2w=48
2l=48-2w
l=24-w

ANSWER: the length is 24-w

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 . length+2 . width=48. find the length in centimeters if width is w centimeters.

Although written poorly, the obvious is stated...."the perimeter of the rectangle can be described
with the equation 2length + 2width = 48."

With width being w, and length, L, we get: 2w + 2L = 48
                                          2(w + L) = 2(24)
                                             w + L = 24
                                   Length, or L = 24 - w.