Question

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?

Answer 1

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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Answer 2

shorter piece: 2 feet

longer piece: 8 feet

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