A rectangular poster is to have 50 squared inches for printed matter. It is to have a 1​ inch. margin on each side and a 2​ inch. margin at the top and bottom. Find the dimensions of the poster so that the amount of paper used is minimized.

Horizonatal width=
Vertical Height=

2 answers

A rectangular poster is to have 50 squared inches for printed matter. It is to have a 1​ inch. margin on each side and a 2​ inch. margin at the top and bottom. Find the dimensions of the poster so that the amount of paper used is minimized.

Horizonatal width=
Vertical Height=
Let the printed area xy=50
The total area is

a = (x+2)(y+4) = (x+2)(50/x + 4)
= 4x + 58 + 100/x

so, find where da/dx = 0 (and x>0)