Question

.. The area of a garden plot can be represented

Answer 1

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

$Area\ of\ each\ section = \frac{\text{Total area of graden}}{\text{Number of sections}}$

$Area\ of\ each\ section = \frac{84z-54}{6}\\\\Area\ of\ each\ section =\frac{6(14z-9)}{6}\\\\Area\ of\ each\ section = 14z - 9$

Thus area of each section is 14z - 9