Hello, Starmix!

Who made up these problems?

The answers are quite ugly.

1. A rectangular page is to contain 180 inē of print.

The top and bottom margins are each 0.7 in wide, and the margins on each side is 2 in wide.

What should the dimensions be if the least amount of material is to be used? Did you make a sketch? Code:

: 2 : - x - : 2 :
- *---------------* -
0.7 | | :
- | *-------* | :
: | | | | :
: | | | | :
y | |y | | : y + 1.4
: | | | | :
: | | x | | :
- | *-------* | :
0.7 | | :
- *---------------* -
: - - x + 4 - - :

The width of the print is .

The height of the print is .

The area of the print is 180 inē: . .[1]

The width of the page is: .

The height of the page is: .

The area of the page is: . .[2]

Substitute [1] into [2]: .

. . which simplifies to: .

Then we have: .

. . Then: .

Substitute into [1]: .

The width of the page is: .

The height of the page is: .