A gift card stores data using a black, magnetic stripe on the back of the card. Find the width w of the stripe.

A gift card stores data using a black magnetic stripe on the back of the card Find the width w of the stripe class=

Respuesta :

The width of w is 0.90 cm.

Find the length of the sides:

The first step to solve this problem is to find how long is each side.  About this, we know one side is 8 1/2 cm or 8.5 but the other side is not exactly given (4cm + w + 2/3 w). To determine the length of this size, use the area formula:

  • A = side a x side b
  • Side b = A / side a
  • Side b = 46.75 / 8.5
  • Side b 5.5

Find the length of w:

The total length of the side - known side

  • 5.5 - 4 = 1.5

This means w + 2/3 w (0.66 w) is equal to 1.5

Find w:

  • w + 2/3 w = 1.5
  • w + 0.66w = 1.5
  • 1.66 w = 1.5
  • w = 1.5/ 1.66
  • w =  0.90 cm

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