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?

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) (Show Source): You can put this solution on YOUR website!
.

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 =  = 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.

RELATED QUESTIONS
The length and width of a rectangle are in a 4:7 ratio. The perimeter of the rectangle is (answered by TimothyLamb)

the length and width of a rectangle are in the ratio 5:3. the perimeter of the rectangle... (answered by rfer)

The length and width of a rectangle are in the ratio of 5:3 The perimeter is 64 feet.... (answered by rfer)

A rectangle with a perimeter of 80 centimeters has a length and width in a ratio of 3:1.... (answered by stanbon)

A rectangle with a perimeter of 60 meters has a length and width in a ratio of 7:3. What... (answered by josgarithmetic)

The length and width of a rectangle are in the ratio 5:4. The perimeter of the rectangle... (answered by stanbon)

The length of a rectangle is three times its width. It's perimeter is 80 m. What are the... (answered by CubeyThePenguin)

The length and width of a rectangle are in ratio of 7:3. He perimeter of the rectangle is (answered by rfer)

The length and width of a rectangle are in ratio of 7:3. He perimeter of the rectangle is (answered by josgarithmetic)