nishaleonard1
nishaleonard1 nishaleonard1
  • 16-09-2018
  • Mathematics
contestada

the length of a rectangle is three less than twice its width. If the perimeter is 48, find the length.

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jimrgrant1 jimrgrant1
  • 16-09-2018

length = 15

let the width = w then length = 2w - 3

Perimeter = 2(length + width)

                = 2(2w - 3 + w) = 2( 3w - 3) = 6w - 6 = 48

hence 6w = 48 + 6 = 54 ⇒ w =[tex]\frac{54}{6}[/tex]= 9

Thus length = 2w - 3 = (2× 9) - 3 = 18 - 3 = 15


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