Question

A carpenter wants to cut an 84 inches long board into two -pieces such that one piece is twice as long as the other piece. Set an equation and find the length of each piece.

Answer 1

The shorter piece is 28 inches

The long piece is 56 inches

Explanation:

First, we need to write an equation:

-> Let x be the shorter piece after they are cut.

84 inches = x + 2x

84 inches = 3x

28 inches = x

x = 28 inches

Now we will find the length of each piece,

-> The shorter piece is 28 inches

[] x = 28 inches

-> The long piece is 56 inches

[] 2x = 2(28) = 56 inches

Checking work:

56 + 28 = 84

-> This solution should work