Madison B.

asked • 04/08/16

What would the rectangles look like?

What does it look like to draw four 4 different rectangles, all of which have a perimeter of 8 inches. At least 2 of your rectangles should have side lengths that are not whole numbers. (in inches) Label the rectangles with their lengths and widths. 

Mark M.

Did you attempt to draw the four rectangles?
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04/08/16

Madison B.

I did attempt drawing them but I do not think they are correct. So the 1st rectangle as 8 inches for perimeter so I had each of the four rectangles as length and width being 4. However in the problem it states that at least 2of the rectangles should have side lengths that are not whole numbers. So this is where I got stumped? Im sorry I'm very very bad at math. 
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04/08/16

1 Expert Answer

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James B. answered • 06/04/16

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The formula for the perimeter of a rectangle is  .... 
 
   Perimeter = 2L + 2W
 
   Thus, we can take half the perimeter, and that should be equal to the sum of 2 consecutive sides.
 
   So the length plus the width is half of 8, which is 4
 
   Here are some combinations for length and with which meet this criteria.
 
  • length of 2, width of 2
  • length of 3, width of 1
  • length of 2.5, width of 1.5
  • length of 3.5, width of .5 
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