Find the length of the broken line ABCD if CD is 4 times more than AB; and AC is 2 times larger than AB.

univerkov | July 16, 2021 | education

Let x be the length of the segment AB, then the length of the segment CD is 4 × x.

If the length of the segment AC is 2 times greater than the length of the segment AB, then the length of the segment AC is 2 × x.

Then the length of the segment BC = AC – AB, that is, the length of the segment BC = 2 × x – x = x. The length of the broken line ABCD = AB + BC + CD.

Therefore, the length of the broken line ABCD = x + x + 4 × x = 6 × x.

Answer: the length of the broken line ABCD is 6 × x.

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