Answer:
longest piece is 38 cm
medium piece is 26 cm
smallest piece is 19 cm
Step-by-step explanation:
Let's assume longest piece is x cm
medium piece is y cm
smallest piece is z cm
The longest piece is twice as long as the shortest piece
so, [tex]x=2z[/tex]
The other piece is 7 cm longer that the shortest piece
so,
[tex]y=z+7[/tex]
A 83 -centimeter-long board is cut into 3 pieces
so,
[tex]x+y+z=83[/tex]
now, we can plug these equations
[tex]2z+z+7+z=83[/tex]
now, we can solve for z
[tex]4z=76[/tex]
[tex]z=19[/tex]
now, we can find x and y
[tex]x=2\times 19=38[/tex]
[tex]y=19+7=26[/tex]
so,
longest piece is 38 cm
medium piece is 26 cm
smallest piece is 19 cm
