You are working on a yearbook that will contain small photos of individual people. The pages will be 8 1/2 inches wide and 11 inches long. Each photograph will be 1 1/4 inches wide and 1 3/4 inches long. The photos will be set in rows and columns with no space between the rows or between the columns
1. How many photos can be set in a row?
2. If the leftover space is dividend equally between the left and right margins how wide will those margins be?
3.How many rows can be set on the page?
4.if the leftover space is divided equally between top and bottom margins how wide will those margins be?
5.How many photos can be set on each page?
6. How much of the total area of the page will be occupied by photos?
1. To find out how many photos can be set in a row, we need to divide the width of the page by the width of each photo:
8 1/2 inches ÷ 1 1/4 inches = 6.8
Since we cannot have a fraction of a photo, we can set 6 photos in a row.
2. The leftover space is the difference between the width of the page and the total width of the photos:
8 1/2 inches - (1 1/4 inches × 6) = 8 1/2 inches - 7 1/2 inches = 1/2 inch
Since this space is divided equally between the left and right margins, each margin will be:
1/2 inch ÷ 2 = 1/4 inch
Therefore, the left and right margins will be 1/4 inch each.
3. To find out how many rows can be set on the page, we need to divide the length of the page by the length of each photo:
11 inches ÷ 1 3/4 inches = 6.28571...
Since we cannot have a fraction of a row, we can set 6 rows on the page.
4. The leftover space is the difference between the length of the page and the total length of the photos:
11 inches - (1 3/4 inches × 6) = 11 inches - 10 1/2 inches = 1/2 inch
Since this space is divided equally between the top and bottom margins, each margin will be:
1/2 inch ÷ 2 = 1/4 inch
Therefore, the top and bottom margins will be 1/4 inch each.
5. To find out how many photos can be set on each page, we need to multiply the number of photos in a row by the number of rows:
6 photos × 6 rows = 36 photos
Therefore, 36 photos can be set on each page.
6. The total area of the page is the width multiplied by the length:
8 1/2 inches × 11 inches = 93.5 square inches
The total area occupied by the photos is the width of each photo multiplied by the length of each photo, multiplied by the number of photos:
1 1/4 inches × 1 3/4 inches × 36 = 78.75 square inches
Therefore, the amount of the total area of the page occupied by photos is:
78.75 square inches ÷ 93.5 square inches ≈ 0.842 or 84.2% of the total area.