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31 December, 19:00

A segment 12" long is divided into two segments having lengths in the ratio of 2:3. Find the length of the shortest segment.

2

2 2/5

4 4/5

7 1/5

+4
Answers (2)
  1. 31 December, 19:05
    0
    4 4/5.

    Divide 12 by 5, 5 because you would add 2 and 3

    You will get 2 2/5

    Now you know what the ratio 1 is equivalent to

    There is 2 ratio portions in the shortest segment.

    2 2/5 multiplied by 2 is 4 4/5
  2. 31 December, 19:21
    0
    Let x and y be the lengths of the segments. From the given above, the ratio of the sides is equal to 2/3.

    x / y = 2 / 3

    From the proportion, it is conclusive that x = 2y/3. The sum of x and y should be equal to 12.

    x + y = 12

    (2x/3 + y) = 12

    The value of y is 7.2. The value of x then is equal to 4 4/5. The answer is the third choice.
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