The length of each pieces of the board A 10-foot board is to be cu

deliriwmfg 2021-11-16 Answered
The length of each pieces of the board
A 10-foot board is to be cut into two pieces so that the length of the longer piece is 4 times the length of the shorter.

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Otigh1979
Answered 2021-11-17 Author has 6986 answers
Step 1
Let the length of shorter piece \(\displaystyle={x}\)
So, the length of longer piece \(\displaystyle={4}{x}\)
According to the question,
\(\displaystyle{x}+{4}{x}={10}\)
\(\displaystyle{5}{x}={10}\)
\(\displaystyle{x}={\frac{{{10}}}{{{5}}}}={2}\)
So, the length of shorter piece \(\displaystyle={2}\text{foot}\)
The length of longer piece:
\(\displaystyle={4}{x}={4}\times{2}={8}\text{feet}\)
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