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A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of the shorter piece. What is the length of each piece?

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Answer:

shorter piece: 2 feet

longer piece: 8 feet

Step-by-step explanation:

let the shorter piece be x

then the longer piece will be 3x + 2

if they join together:

  • 3x + 2 + x = 10
  • 4x + 2 = 10
  • 4x = 10 -2
  • 4x = 8
  • x = 2

Longer piece:

  • 3x + 2
  • 3(2)+2
  • 8 feet

Answer:

x+3x+2=10

4x=10-2

4x=8

x=8/4

x=2 ft. for the shorter piece./

3*2+2=6+2=8 ft. for the longer piece.

Proof:

8+2=10

10=10

Step-by-step explanation:  hope it helps u

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