Let's draw the scenario to better understand the problem:
To be able to determine the area that is not covered by the pictures, we will be using the following formula:
[tex]\text{ Area}_{Not\text{ Covered}}\text{ = Total area of the cardboard - Total area of the pictures}[/tex]We get,
[tex]\text{ Area}_{Not\text{ Covered}}\text{ = Total area of the cardboard - Total area of the pictures}[/tex][tex]\text{ = (20 x 9) - 3(7 x 4)}[/tex][tex]\text{ = 180 - 3(28)}[/tex][tex]\text{ = 180 - 84}[/tex][tex]\text{Area}_{Not\text{ Covered}}=96in^2[/tex]Therefore, the area that is not covered is 96 in^2.