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

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
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:
$$\displaystyle={4}{x}={4}\times{2}={8}\text{feet}$$