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In Mathematics / Middle School | 2014-05-04

A piece of wood is 180 cm long. Tom cuts it into three pieces in the ratio 2:3:4.

Work out the length of the longest piece.

Asked by murphykatieperr

Answer (3)

2:3:4 2:3:4 can be written as 2x:3x:4x
2x+3x+4x=180 9x=180 x=20
Therefore it is 40:60:80

Answered by HunterX | 2024-06-10

T h e r a t i o i s : 2 : 3 : 4 L e t ′ s s u m u p i t : 2 + 3 + 4 = 9 9 2 ​ ∗ 180 = 40 9 3 ​ ∗ 180 = 60 9 4 ​ ∗ 180 = 80 T h e l o n g es t p i ece ha s l e n t h = 80 c m

Answered by marmal | 2024-06-10

The longest piece of wood is 80 cm long. It is part of a total of three pieces cut from a 180 cm long piece in the ratio of 2:3:4. The calculations show the lengths of the pieces as 40 cm, 60 cm, and 80 cm respectively.
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Answered by HunterX | 2024-09-03

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