Question

1. 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. write an expression that represents the area of each section.

Explanation:

Step1: Identify the operation

To find the area of each section, we need to divide the total area \(84z - 54\) by 6.

Step2: Divide each term by 6

Using the distributive property of division over subtraction, we divide each term in \(84z - 54\) by 6.
For the first term: \(\frac{84z}{6}=14z\)
For the second term: \(\frac{- 54}{6}=-9\)
So the expression for the area of each section is \(14z - 9\).

Answer:

\(14z - 9\)