Question

a poster is to have a total area 500 of square centimeters. there is a margin around the edges of 6 cm at the top and 5 cm on the bottom and sides where nothing is printed. express the printed area a in terms of the width w (in centimeters) of the bottom.

Answer 1

The printed area is
`[A = hw = (436w - 4w^2)/(16 + w).]`

Let h be the height of the printed area.

Then the total area of the poster is

[(h+4)(w+16) = 500,]

or hw+16h+4w+64=500.

This simplifies to hw+16h+4w=436.

Since the height is also in centimeters, we can solve this equation for h:

`[h = (436 - 4w)/(16 + w).]`

Therefore, the printed area is
`[A = hw = (436w - 4w^2)/(16 + w).]`

Question

A poster is to have a total area of 500 square centimeters. There is a margin around the edges of 4 cm at the top and 8 cm on the bottom and sides where nothing is printed. Express the printed area A in terms of the width w (in centimeters) of the bottom.