A rectangular poster has overall width cm and height cm

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A rectangular poster has overall width

x

cm and height

y

cm. Margins of

4

cm on the left and right and

6

cm on the top and bottom surround the printed region. The printed area must be exactly

1200\text{ cm}^2

. Determine, to the nearest tenth of a centimeter, the value of

x

that minimizes the total area of the poster.