a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces. whats the length of the first piece?

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Mathematics

16 February, 08:41

a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces. whats the length of the first piece?

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Aniyah Mccormick · Answer 1

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

Step-by-step explanation:

Length of the first piece = x

Length of the second piece = 2x

Length of the third piece = 3x

Total length is 36 inches:

x + 2x + 3x = 36

6x = 36

x = 6

Therefore, the lengths are:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches