Respuesta :
The area of each section is 14z - 9
Solution:
The area of a garden plot can be represented by the expression 84z - 54
The garden will be divided into six sections for planting six different vegetables
The sections will be equal in area.
To find: Expression for area of each section
Number of sections = 6
[tex]Area\ of\ each\ section = \frac{\text{Total area of graden}}{\text{Number of sections}}[/tex]
[tex]Area\ of\ each\ section = \frac{84z-54}{6}\\\\Area\ of\ each\ section =\frac{6(14z-9)}{6}\\\\Area\ of\ each\ section = 14z - 9[/tex]
Thus area of each section is 14z - 9
The expression to denote the area of each section would be:
[tex]14z - 9[/tex]
Given that,
The expression for the area of plot [tex]= 84z - 54[/tex]
The number of equal sections in which it is divided [tex]= 6[/tex]
To find,
The expression for each section = ?
The area of each section [tex]= \frac{total area of the garden plot}{number of equal sections}[/tex]
[tex]= \frac{84z - 54}{6}[/tex]
[tex]= \frac{6(14z - 9)}{6}[/tex]
[tex]= 14z - 9[/tex]
Thus, [tex]14z - 9[/tex] is the expression that would represent every section's area.
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