A rectangular page is to contain $36$ square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.
A) $8,8$
B)6, 6
C)4, 4
D)7, 7
E)5, 5

Question

Quizplus · Accepted Answer

The least amount of paper will be used when the page is a square, as this shape has the smallest perimeter for a given area. Given the print area is 36 square inches and each margin is 1 inch, the total page dimensions would be the square root of 36 (which is 6) plus 2 inches for the margins on each dimension, making the page 8 inches by 8 inches.

A Rectangular Page Is to Contain 363636 Square Inches of Print 8,88,88,8

A Rectangular Page Is to Contain $36$ Square Inches of Print $8,8$