Most communities have a Sign Ordinance that limits the amount of signage that yo

Question

Most communities have a Sign Ordinance that limits the amount of signage that you use to advertise your business. Often this is computed by looking at factors such as highway frontage and size of your building.

Suppose that your sign is limited to 4200 square inches (width x height = 4200) . You want to build a sign that is aesthetically appealing but will give you the maximum amount of "Printable Area" to advertise your business. To be an aesthetically appealing sign you would want to have the top and bottom margins to be both be 12 inches each and the right and left margin to both be 8 inches each.

To Maximize the Printable Region of your sign, how many inches tall (height) should the Sign be?   

Explanation / Answer

Most communities have a Sign Ordinance that limits the amount of signage that you use to advertise your business. Often this is computed by looking at factors such as highway frontage and size of your building. Suppose that your sign is limited to 4800 square inches (width x height = 4800) . You want to build a sign that is aesthetically appealing to advertise your business. To be an aesthetically appealing sign you would want the width to be 2 times the height and you want the top and bottom margins to both be 7 inches each and the right and left margin to both be 8 inches each. The "Printable Region" would be the area inside these margins and this will be the area that you can use to advertise your business. How many square inches will be in the "Printable Region" w = 2h 7inch margins. 8inch left and right margins. printable region is = (h-2*7) (w-2*8) = (h-14)(w-16) w*h = 4800 2h*h = 4800 h^2 = 2400 h = 48.989794855663562 w = 97.979589711327123856 printable region is (h-14)(w-16) = (48.98 - 14) *(97.97-16) = 2867.3106 sq inches.

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.