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A thread was folded in half, and then it was folded again, forming a bundle. Then the thread was cut into pieces by a striaght cut through the enitre bundle. Ine of the pieces is 8 cm, and the longest piece is 18 cm. What is the longest possible length of the thread

Respuesta :

The longest possible length of the thread is;

Length = 144 cm

  • Let the length of the thread be x cm.

Now, it is first folded in half. This means divided into 2. Thus, we now have length as x/2.

  • We are told it is folded again. This means the length after second folding is now; (x/2) ÷ 2 = x/4.

  • We are told that there is now a straight cut through the entire bundle with one of the pieces being 8cm and the longer piece being 18 cm.

This means the ratio is; 8:18

  • Since the new length after the final folding is x/4, then it means after cutting;

longer length will be; [tex](\frac{18}{8 + 18})[/tex] [tex]* (\frac{x}{4})[/tex]

Thus, we now have;

18 = (18/26) × (x/4)

18 will cancel out to give; x = 26 × 4

x = 144 cm

Therefore the longest possible length of the thread = 144 cm

Read more at; https://brainly.com/question/3873145

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