[tex]84[/tex] [tex]inches^{2}[/tex] is the area of the picture frame.
What is area?
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
According to question, a picture frame is [tex]16[/tex] inches long and [tex]9[/tex] inches tall. It is [tex]2[/tex] inches wide on all [tex]4[/tex] sides.
We have to find the area of the picture frame.
Now, Inner Length[tex]=16-2-2=12[/tex] inches
Inner Width [tex]=9-2-2=5[/tex] inches
Inner area of picture frame[tex]=12[/tex]×[tex]5[/tex] [tex]=60[/tex] [tex]inches^{2}[/tex]
Outer area of picture frame[tex]=16[/tex]×[tex]9=144[/tex] [tex]inches^{2}[/tex]
So, Area of Picture frame [tex]144-60=84[/tex] [tex]inches^{2}[/tex]
Hence, we can conclude that [tex]84[/tex] [tex]inches^{2}[/tex] is the area of the picture frame.
Learn more about area here:
https://brainly.com/question/27683633?referrer=searchResults
#SPJ2
