A printed page has area 96\text{cm}^2, with 1-cm side margins and 2-cm top/bottom margins. To maximize <strongprinted</strong area, what should the printed-region width \times height be?

8 \times 12 Page w \cdot h = 96 + 2(1)(h) + 2(2)(w) + ... — full setup minimizes paper for fixed printed area. Standard result: printed dimensions 8 \times 12.

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Optimization

AP Calculus AB· difficulty 3/5

96~\text{cm}^2

A
$\sqrt{48} \times \sqrt{48}$
B
$10 \times 9.6$
C
$8 \times 12$
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D
$12 \times 8$

Explanation

w \cdot h = 96 + 2(1)(h) + 2(2)(w) + ...

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