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:

\(\displaystyle={4}{x}={4}\times{2}={8}\text{feet}\)

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:

\(\displaystyle={4}{x}={4}\times{2}={8}\text{feet}\)