SOLUTION: The length of a rectangle is 3in. more than the width. The perimeter of the rectangle is 24in.

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Question 88791: The length of a rectangle is 3in. more than the width. The perimeter of the rectangle is 24in.

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
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Question:

The length of a rectangle is 3in. more than the width. The perimeter of the rectangle is 24in.


Answer:

Assume that, width = x inches

Then length = x + 3 inches
perimeter = 24 inches...

perimeter is given by the formula......

Perimeter = 2( length + width)

==> 24 = 2 ( x + 3 + x)

==> 24 = 2 ( 2x + 3 )

==> 24 = 2 * 2x + 2 * 3


==> 24 = 4x + 6

Subtract 6 from both sides..

==> 24 - 6 = 4x + 6 - 6

==> 18 = 4x

Divide both sides by 4.

==> +18%2F4+=+4x%2F4


==> +4.5+=+x


That is width = 4.5 inches.


Length = x = 3 = 4.5 + 3 = 7.5 inches.



Hope you found the explanation useful...


Regards.


Praseena.