SOLUTION: John made a rectangular pen for his dog using 28 feet of fencing. If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen?

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Question 93349: John made a rectangular pen for his dog using 28 feet of fencing.
If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen?

Found 2 solutions by checkley75, praseenakos@yahoo.com:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
W=L/2+2
2W+2L=28
2(L/2+2)+2L=28
L+4+2L=28
3L=28-4
3L=24
L=24/3
L=8 ANSWER FOR THE LENGTH.
W=8/2+2
W=4+2
W=6 ANSWER FOR THE WIDTH
PROOF
2*8+2*6=28
16+12=28
28=28


Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:
John made a rectangular pen for his dog using 28 feet of fencing.
If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen?

Answer:
Given data:
* Recangular Pen
* 28 feet fencing ==> perimeter of the rectangle is 28 feet.
* width of the pen is 2 feet more than one-half the length.

Let us assume that , length = x feet.

One half of the length = +x%2F2+

2 feet more than one-half the length = +x%2F2+ + 2

Therefore, width = +x%2F2+ + 2


Perimeter of the rectangle is given by the formula,

P = 2 (length + width)


==> 28 = 2 ( x + +x%2F2+ + 2 )

Divide throughout the expression by 2

==> 14 = ++x+%2B+++x%2F2++%2B+2++

Again multiply throughout by 2.

==> +14%2A2++=2%2A+x+%2B++2%2A%28+x%2F2%29++%2B+2%2A+2++


==> +28+=+2x+%2Bx+%2B+4

==> +28+=+3x+%2B+4

Subtract 4 from both sides....


==> 28 - 4 = 3x + 4 - 4

==> 24 = 3x

Divide both sides by 3


==> +24%2F3+=+3x%2F3+

==> 8 = x

That is length = 8 feet

Therefore, width = +%288%2F2%29%2B+2+

==> width 4 + 2 = 6 feet.


Hence the answer.

Hope ypou found the explanation useful.


Regards.

Praseena.