A Cardboard Poster Containing 32 Square Inches of Printed Region $\frac { 4 ( 3 + 4 \sqrt { 3 } ) } { 3 }$

Multiple Choice

A cardboard poster containing 32 square inches of printed region is to have a margin of 2 inches at the top and bottom and 0.75 inch at the sides. The dimensions of the smallest piece of cardboard that can be used to make the poster are

A) $\frac { 4 ( 3 + 4 \sqrt { 3 } ) } { 3 }$ in by $\frac { 3 + 4 \sqrt { 3 } } { 2 }$ in
B) $\frac { 5 ( 3 + 4 \sqrt { 3 } ) } { 3 }$ in by $\frac { 3 + 4 \sqrt { 3 } } { 2 }$ ?in
C) $\frac { 4 ( 3 + 4 \sqrt { 3 } ) } { 3 }$ in by $\frac { 3 + 4 \sqrt { 3 } } { 3 }$ in
D) $\frac { 4 ( 3 + 4 \sqrt { 3 } ) } { 2 }$ in by $\frac { 4 ( 3 + 4 \sqrt { 3 } ) } { 2 }$ in
E) $\frac { 4 ( 3 + 4 \sqrt { 3 } ) } { 3 }$ in by $\frac { 3 + 4 \sqrt { 3 } } { 4 }$ in