Question

a tape of 56 cm is divided into 2 segments whose lengths are at a rate 3/5, which is the length of the 2 segments?

Answer 1

Answer on Question # 41598– Math - Geometry

A tape of 56 cm is divided into 2 segments whose length are at a rate $3/5$, which is the length of the segments?

Solution:

Let $k$ be proportional coefficient, then the length of one segment is $3k$ and the length of the other one is $5k$. As the length of the whole tape is $56~\mathrm{cm}$, so we obtain

$$3k + 5k = 56$$ $$8k = 56$$ $$k = 7$$

Hence, the length of the shorter segment is $3*7 = 21$ cm, and the length of the longer segment is $5*7 = 35$ cm.

**Answer.** One segment is $21~\mathrm{cm}$, and the other one is $35~\mathrm{cm}$.

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