thuybui2007
thuybui2007 thuybui2007
  • 27-09-2021
  • Mathematics
contestada

The length of a rectangle is 4 mm less than 3 times the width. If the perimeter is 56 mm, what is the length of the rectangle?

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 27-09-2021

Step-by-step explanation:

l = length

w = width

l = 3w - 4

the perimeter of a rectangle (the way all around the rectangle) is 2 times the length and 2 times the width.

56 = 2l + 2w

now we are using the first equation and substitute it into the second

56 = 2×(3w - 4) + 2w = 6w - 8 + 2w = 8w - 8

64 = 8w

w = 8 mm

=>

l = 3w - 4 = 3×8 - 4 = 24 - 4 = 20 mm

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