SOLUTION: 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

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: 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       Log On


   



Question 631097: 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?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The total area of the page (in square inches) can be calculated by multiplying height times width (in inches) as
(12 inches)(8 inches) = 96 square inches.
Since the top and bottom margins on the page are each 2 wide, the height of the part of the page available for printing (in inches) is
12-2%2A2=12-4=8
Since the side margins are each 1 inch wide, the width of the part of the page available for printing (in inches) is
8-2%2A1=8-2=6
The area of the part of the page available for printing (in square inches) can be calculated by multiplying height times width (in inches) as
(8 inches)(6 inches) = 48 square inches.
As a fraction, it represents
48%2F96=1%2F2 of the page
That is half the page.
In percent, it represents
48%2A100%2F96=50%