Answer:
Length of shorter piece is 5.5 foot and length of longer piece is 9.5 foot.
Step-by-step explanation:
It is given that a 15-foot log is cut into two pieces.
The longer piece is 1.5 feet shorter than twice the shorter piece.
Let the length of shorter piece be x foot.
Length of longer piece = (2x-1.5) foot
Combine length of both pieces = x+(2x-1.5) foot
Now,
[tex]x+(2x-1.5)=15[/tex]
[tex]3x-1.5=15[/tex]
[tex]3x=15+1.5[/tex]
[tex]3x=16.5[/tex]
Divide both sides by 3.
[tex]x=5.5[/tex]
Length of shorter piece = 5.5 foot. So, length of longer piece is
[tex]2(5.5)-1.5=11-1.5=9.5[/tex]
Therefore, length of shorter piece is 5.5 foot and length of longer piece is 9.5 foot.
