mochimoch8215 mochimoch8215
  • 11-10-2018
  • Mathematics
contestada

A piece of wood is divided into three pieces in the ratio 6:8:4. The length of the longest pieces is 144cm. Calculate the length of the wood.

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jimrgrant1 jimrgrant1
  • 11-10-2018

3.24m

the longest piece will be associated with 8 parts of the ratio.

divide 144 by 8 to find 1 part of the ration then multiply this value by 6 and 4 for the remaining parts of the ratio

[tex]\frac{144}{8}[/tex] = 18 cm ← 1 part

6 parts = 6 × 18 = 108 cm

4 parts = 4 × 18 = 72 cm

length = 144 + 108 + 72 = 324 cm = 3.24m


Answer Link
tramserran
tramserran tramserran
  • 11-10-2018

Answer: 324 cm


Step-by-step explanation:

  6 :   8 :   4

x18 x18  x18

108  144   72

108 + 144 + 72 = 324

Answer Link

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