Each page of a photo album holds 3 rows of 4 square photos. The area of each photo is 25 square centimeters. There is 2 cm space between photos and a 3 cm border around the group of pictures. What are the dimensions of one page of the photo album?
The total area of one page of the photo album is the sum of the area of the photos, the space between photos, and the border around the group of pictures.
The area of each photo is 25 square centimeters, so the total area of the photos for one row is 4 * 25 = <<4*25=100>>100 square centimeters.
Since there are 3 rows, the total area of the photos is 3 * 100 = <<3*100=300>>300 square centimeters.
The space between photos is 2 cm, so there are 3 - 1 = <<3-1=2>>2 spaces between the rows.
The total area of the space between photos is 2 * 2 * 2 = <<2*2*2=8>>8 square centimeters.
The border around the group of pictures is 3 cm on all sides, so the total area of the border is 2 * (3 * (4 + 2) + 3 * (3 + 2)) = 78 square centimeters.
Therefore, the total area of one page of the photo album is 300 + 8 + 78 = <<300+8+78=386>>386 square centimeters.
Since the photos, space between photos, and border form a rectangle, the dimensions of one page of the photo album are the factors of 386. The factors of 386 are 1, 2, 193, and 386.
Therefore, the dimensions of one page of the photo album are 1 cm by 386 cm, 2 cm by 193 cm, 193 cm by 2 cm, or 386 cm by 1 cm.
To find the dimensions of one page of the photo album, we need to consider the dimensions of the photos, spaces between them, and the border around the group of pictures.
First, let's calculate the total width of the photos and spaces between them on one row. Each photo has a width of 5 cm (since the area is 25 square cm and the photo is square). There are 4 photos in each row, so the total width of the photos is 4 * 5 cm = 20 cm.
Next, we need to include the spaces between the photos. There are 2 cm spaces between each photo, so the total width of the photos and spaces on one row is 20 cm + 2 cm * 3 = 20 cm + 6 cm = 26 cm.
Since there are 3 rows on each page, the total height of the photos and spaces in one page is 26 cm * 3 = 78 cm.
Finally, we need to consider the border around the group of pictures. There is a 3 cm border on each side (left, right, top, and bottom), so we need to add 3 cm * 2 + 78 cm + 3 cm * 2 = 6 cm + 78 cm + 6 cm = 90 cm.
Therefore, the dimensions of one page of the photo album are 90 cm by 26 cm.