a) Find a formula for the height of the printed area (h) in terms of its width (w). b) Show that the total area (A) of the entire notice board (including the margins) is given by: 8000 A = 820 + 20w +9 W c) Find the dimensions of the entire board (including the margins), which minimizes the quantity of board required. d) Check that these dimensions indeed give a minimum value as opposed to a maximum. h W

a) Find a formula for the height of the printed area (h) in terms of its width (w). b) Show that the total area (A) of the entire notice board (including the margins) is given by: 8000 A = 820 + 20w +9 W c) Find the dimensions of the entire board (including the margins), which minimizes the quantity of board required. d) Check that these dimensions indeed give a minimum value as opposed to a maximum. h W

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...

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