Question

A 132-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece

Answer 1

Here are the two pieces:

x and 3x

Here is the needed equation:

x + 3x = 132

4x = 132

x = 132/4

x = 33

The two pieces are 33 inches and 99 inches.

Answer 2

The length of the shorter piece is 33 inches.

132 inches of the board is cut into 2 pieces. The board is divided into 2 parts.

One piece is three times the length of the other. Therefore,

let

one piece = x

The other piece = 3x

The length(x) of the shorter part  can be found below

• x + 3x = 132

4x = 132

divide both sides by 4

x = 132 / 4

x = 33

The length of the shorter piece is 33 inches.

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