Question

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.
Which equation could be used to solve for the lengths?

x+x+x=10+2
x+x+ 2 x= 10
x+x+x+2=10
x+x+x-2=10

Answer 1

the third : x + x + x + 2 = 10

Explanation:

x = the length of the first 2 pieces.

the third piece will be x+2 ft long.

so, the total length of the original board is the sum of all 3 pieces and must be all in all 10 ft.

10 = x + x + (x + 2) = x + x + x + 2

so, it is the third answer option.