Answer:
Explanation:
To determine if Jessa's 20 photos can fit on a section of wall that is 18 inches long and 14 inches wide, we need to calculate the total area required by the photos and compare it to the available wall space.
Each photo is 3 inches wide and 3 inches long. Therefore, the area of each photo is \(3 \text{ inches} \times 3 \text{ inches} = 9 \text{ square inches}\).
Jessa plans to display the photos in an array that is 5 photos long and 4 photos wide, which means there will be a total of \(5 \times 4 = 20\) photos.
To find the total area required for all 20 photos, multiply the area of one photo by the number of photos:
Total Area = Area of One Photo × Number of Photos
Total Area = \(9 \text{ square inches} \times 20\) photos
Total Area = \(180 \text{ square inches}\)
Now, let's compare the total area required for the photos (180 square inches) to the available wall space, which is 18 inches long and 14 inches wide.
The available wall space has an area of \(18 \text{ inches} \times 14 \text{ inches} = 252 \text{ square inches}\).
Since the total area required for the photos (180 square inches) is less than the available wall space (252 square inches), Jessa's 20 photos will indeed fit on the section of wall that is 18 inches long and 14 inches wide without any gaps or overlaps.