jmpalmer1384 jmpalmer1384
  • 01-09-2017
  • Mathematics
contestada

if the perimeter of a rectangle is 318 inches, find the width and length. what's the answer?

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boldeagle
boldeagle boldeagle
  • 01-09-2017
If those Length and Width are consecutive integers then we can calculate the answer by following:

let's consider that Length is n
Then width will be n+1

Perimeter of rectangle is equal to 2*(L+W) in this case
P = 2*(n + [n+ 1]) = 2*(n + n + 1) = 2(2n + 1)

P = 318

318 = 2(2n+1)
159 = 2n+1
159 - 1 = 2n
158 = 2n
79 = n

So this means that Length is 79 and Width is 80
or vice versa, Length is 80 and Width is 79
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