kaitlyn6231 kaitlyn6231
  • 14-10-2019
  • Mathematics
contestada

The perimeter of a rectangle is 200 meters. If the width is 25% of the length, find the dimensions of the rectangle

Respuesta :

altavistard
altavistard altavistard
  • 14-10-2019

Answer:

The rectangle dimensions are 20 m by 80 m

Step-by-step explanation:

Let W represent the width and L the length.  Then W = 0.25L.

The perimeter, P, is 200 m.  The formula for that is P = 2W + 2L.

Substituting 0.25L for W, we get:

2(0.25L) + 2L = 200 m, or (after mult. both sides by 2):  L + 4L = 400 m

Then 5L = 400 m, and L = 80 m.  Thus, W = 0.25(80 m) = 20 m.

The rectangle dimensions are 20 m by 80 m

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