The poster and the frame can be seen in the figure below:
To solve this question, follow the steps below.
Step 01: Find the area of the poster.
The area of a rectangle is A = ab, where a and b are the measure of the sides.
The area of the poster:
[tex]\begin{gathered} Ap=42\cdot26 \\ Ap=1092in^2 \end{gathered}[/tex]Step 02: Find the area total (At).
The area total (At) is the area of the poster + the area of the frame.
To find it, use:
a = 42 + 1 + 1 =44 in
b = 26 + 1 + 1 =28 in
[tex]\begin{gathered} At=44\cdot28 \\ At=1232in^2 \end{gathered}[/tex]Step 03: Find the area of the border (Ab).
The area of the border is Ab = At - Ap.
[tex]\begin{gathered} Ab=1232-1092 \\ Ab=140in^2 \end{gathered}[/tex]The area of the border is 140 in².
