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The length of a rectangle is 3 centimeters less than twice its width. If the perimeter of the rectangle is 18 centimeters. find its dimensions

Equation: ?

Length: ? Width: ?

Respuesta :

sqdancefan

Answer:

  • equation: w +(2w -3) = 18/2
  • length = 5 cm
  • width = 4 cm

Step-by-step explanation:

Let w represent the width in cm. Then the length is 2w-3, 3 cm less than twice the width. The perimeter is twice the sum of these, so the sum of length and width is half the perimeter:

  w + (2w -3) = 18/2

  3w -3 = 9 . . . . collect terms

  3w = 12 . . . . add 3

  w = 4 . . . . divide by 3

  2w-3 = 2·4 -3 = 5 . . . . length

The equation is w + (2w -3) = 18/2; the length is 5; the width is 4.

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