Answer:
The dimensions that will give the largest printed area of 132.1669 in^2 are
= Length x Width
= 15.20829 * 8.69045
Step-by-step explanation:
a) Data and Calculations:
Total poster area = 200 in^2
Side margins = 1 inch each
Top and bottom margins = 2 inches each
Let x = length of the full poster
then 200/x = width of the full poster
Therefore, the length of the printed area = x - 3.5
and the width of the printed area = (200/x)-2
Therefore, the Area of the Printed space = (x-3.5)((200/x)-2)
Solving for the Area (A) of the printed space, we have
A = (x-3.5)(-200/x2) + ((200/x)-2)
A = 700 -2x2
If the derivative is set to 0, we have:
0 = 700 -2x2
700 = 2x2
350 = x2
x = 18.70829 The original length
width = 10.69045
Therefore, the area of space available for printing is
15.20829 * 8.69045
= 132.1669 in^2
