stinkbugg3461 stinkbugg3461
  • 14-06-2018
  • Mathematics
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What are the length and width of a rectangle if the length exceeds the width by 55 inches and the perimeter is 270 ​inches?

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altavistard
altavistard altavistard
  • 18-06-2018
Here, P = 2L + 2W, and L=W+55.  Subbing W+55 for L in P = 2L + 2W, we get:

P = 2(W+55) + 2W = 270 in
      2W + 110 + 2W = 270 in, or 4W = 160 in.  Then W=40 in, and L=(40+55)in.
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