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Tema [17]
2 years ago
15

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?
Mathematics
2 answers:
velikii [3]2 years ago
7 0

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

<u>if they join together</u>:

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

<u>Longer piece</u>:

  • 3x + 2
  • 3(2)+2
  • 8 feet
Monica [59]2 years ago
3 0

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

keep smile

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