A page of a certain book is 12 inches high and 8 inches wide. The top and bottom margins on the page are each 2 inches wide, and the side margins are each 1 inch wide. The area on the page available for printing is what percent of the total area of the page?
a. 30%
b. 35%
c. 40%
d. 45%
e. 50%
12 * 8 = 96
2 (2 * 8) = 32
2 * 8 = 16
16 + 32 = 48
48/96 = ? %
To find the area available for printing on the page, we need to subtract the total area of the margins from the total area of the page.
Given:
Height of the page = 12 inches
Width of the page = 8 inches
Top and bottom margins = 2 inches each
Side margins = 1 inch each
Total height of the page with top and bottom margins = 12 + 2 + 2 = 16 inches
Total width of the page with side margins = 8 + 1 + 1 = 10 inches
Total area of the page = Height × Width = 16 inches × 10 inches = 160 square inches
Area of the margins = (Height with margins - Original height) × (Width with margins - Original width)
Area of the margins = (16 inches - 12 inches) × (10 inches - 8 inches) = 4 inches × 2 inches = 8 square inches
Area available for printing = Total area of the page - Area of the margins
Area available for printing = 160 square inches - 8 square inches = 152 square inches
Now, let's calculate the percentage of the area available for printing with respect to the total area of the page:
Percentage = (Area available for printing / Total area of the page) × 100
Percentage = (152 square inches / 160 square inches) × 100
Percentage = 0.95 × 100
Percentage = 95%
Therefore, the area available for printing on the page is 95% of the total area of the page.
Looking at the answer choices, there is no option for 95%. The closest option is 45%, but that is not correct.
The correct answer is not provided in the given options.
To find the area on the page available for printing, we need to subtract the total area of the margins from the total area of the page.
Step 1: Calculate the total area of the page.
The total height of the page is 12 inches, and the total width is 8 inches. So, the total area of the page is 12 inches * 8 inches = 96 square inches.
Step 2: Calculate the area of the margins.
The top and bottom margins are each 2 inches wide, and the side margins are each 1 inch wide. So, the area of the top and bottom margins is 2 inches * 8 inches = 16 square inches, and the area of the side margins is 2 inches * 12 inches = 24 square inches.
The total area of the margins is 16 square inches + 16 square inches + 24 square inches + 24 square inches = 80 square inches.
Step 3: Calculate the area available for printing.
To find the area available for printing, subtract the area of the margins from the total area of the page: 96 square inches - 80 square inches = 16 square inches.
Step 4: Calculate the percentage.
To find the percentage, divide the area available for printing by the total area of the page and multiply by 100:
(16 square inches / 96 square inches) * 100 = 16.67%
A page has an area available for printing that is approximately 16.67% of the total area of the page. Therefore, the answer is not listed in the options provided.