TheTvBird
TheTvBird TheTvBird
  • 22-03-2019
  • Mathematics
contestada

The length of a rectangle is 3 times the width. The perimeter is 96 cm. Find the width and length.

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musiclover10045
musiclover10045 musiclover10045
  • 22-03-2019

Let width = X

Then length would = 3x

The perimeter is 2 times the length + 2 times the width, so half the perimeter would be the length plus the width.

L + W = 1/2 perimeter

L +w = 48

Replace L and W withe the variables from above:

3x + x = 48

Simplify:

4x = 48

Divide both sides by 4:

x = 48/4

x = 12

Now you have a value for x, replace x with 12 in the variables:

Width = x = 12 cm

Length = 3x = 3*12 = 36 cm

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