SOLUTION: a page with length 3 inches more than its width, has 80 square inches of printed area. the margins at the top and bottom are each 1 inch wide. Find the dimension of the page
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Question 1121801: a page with length 3 inches more than its width, has 80 square inches of printed area. the margins at the top and bottom are each 1 inch wide. Find the dimension of the page Answer by ikleyn(52818) (Show Source):
Let w be the page width, in inches.
Then its length is (w+3) inches.
The printed area has dimensions in 2 = 1 + 1 inches less. Therefore, the equation for the printed area is
(w-2)*(w+1) = 80.
w^2 -w - 82 = 0.
Solve it using the quadratic formula.
= = = .
Only positive value of w makes sense, which is w = = 9.57 inches.
Answer. The dimensions of the page are 9.57 and 12.57 inches.
Check. (9.57-2)*(12.57-2) = 80.0 square inches. The solution is correct.
