A 10-foot board is to be cut into 3 pieces. Two of the pieces will be the same length and one piece will be 2 feet longer than the other two.

Step-by-step explanation:

According to the given statement two pieces are of same length:

If the length of one piece is x,

Then the length of other piece is also x.

And one piece is 2 feet longer than the other two = x+2

Total length of a board = 10 foot

Now make the equation from these terms:

x+x+x+2 = 10

This is the equation of the given question.

You can further solve this equation:

x+x+x+2=10

3x+2=10

Now combine the constants:

3x=10-2

3x=8

x=8/3

x=2.67

It means that the length of two pieces of same length is 2.67

And the length of one piece which is longer than the other two = x+2 = 2.67+2 = 4.67 ...