Answer:
Area of the reduced pentagon is [tex]30\ inch^2[/tex]
Step-by-step explanation:
Given scale factor is [tex]0.5[/tex]. And area of pentagon is [tex]120\ inch^2[/tex].
The relation between area and scale factor is.
[tex]New\ area=Old\ area\times (Scale\ factor)^2[/tex]
Here, old area is given as [tex]120\ inch^2[/tex] and scale factor is [tex]0.5[/tex].
So, reduced area of pentagon would be
[tex]=120\times(0.5)^2\\=120\times0.25\\=30\ inch^2[/tex]
The area of the reduced pentagon is [tex]30\ inch^2[/tex]
