Answer: [tex]48ft^2[/tex]
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
[tex]A=lw[/tex]
Where "l" is the length and "w" is the width.
You can identify that the dimensions of the garden box are:
[tex]l=12ft\\w=8ft[/tex]
Therefore, its area is:
[tex]A=(12ft)(8ft)\\\\A=96ft^2[/tex]
SInce Brianna wants to reduce it by a scale factor of [tex]\frac{1}{2}[/tex], the area of the new garden is:
[tex]Area\ of\ new\ garden=\frac{1}{2}(96ft^2)\\\\Area\ of\ new\ garden=48ft^2[/tex]
