Posted by **Barbara** on Tuesday, November 1, 2011 at 1:13am.

Each page of a book will contain 30 in squared of print, and each page must have 2 inch margins at top and bottom and 1 inch margin at each side. What is the minimum possible area of such a page.

- calculus -
**Steve**, Tuesday, November 1, 2011 at 11:22am
if the page width = w, the height = 30/w

Allowing for two margins on each dimension,

a(w) = (width + 2*2)(30/w + 2*1)

= (w+4)(30/w+2)

= 30 + 2w + 120/w + 8

= 2w + 120/w + 38

area is min where da/dw = 0

da/dw = 2 - 120/w^2

2w^2 = 120

w^2 = 60

w = 7.75

a(7.75) = 68.98 -- call it 69 in^{2}

## Answer this Question

## Related Questions

- Calculus - A rectangular page is to contain 72 square inches of print. The page ...
- Calculus - 1) A rectangular page is to contain 16 square inches of print. The ...
- Calculus, HELP!! - 1) A rectangular page is to contain 24 square inches of print...
- Calculus - A rectangular page is to have a print area of 96 square inches. The ...
- Math - A page of a certain book is 12 inches high and 8 inches wide. The top and...
- Calculus - 4. A printed page is to have a total area of 100 square inches. The ...
- Math - A printed page is to have a total area of 100 square inches. The top and ...
- Math - A printed page is to have a total area of 100 square inches. The top and ...
- Math - A printed page is to have a total area of 100 square inches. The top and ...
- Pre-Calc - A page that is x inches wide and y inches high contains 30 square ...

More Related Questions