SOLUTION: A rectangle's length and width are in a ratio of 19:6. The perimeter is 100 millimeters. What are the length and width?

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Question 1091232: A rectangle's length and width are in a ratio of 19:6. The perimeter is 100 millimeters. What are the length and width?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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This sentence


    "A rectangle's length and width are in a ratio of 19:6"


means that the length = 19x and the width = 6x, where x is the common measure.


Then for the perimeter you have

Length + width + length + width = 100,   or

  19x  +  6x   +   19x  +   6x  = 100,


====>  50x = 100  ====>  x = 100%2F50 = 2 millimeters.


Then the length = 192 = 38 millimeters  and the width = 6*2 = 12 millimeters.


Answer.  The length and the width are 38 mm and 12 mm, respectively.

Solved.