Question
Asked Nov 5, 2019

The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 386 square centimeters, find the dimensions of the poster with the smallest area. Include units.

Width=?

Height=?

check_circleExpert Solution
Step 1

Let l be the length of poster and w be the width of poster.

The top and bottom margins are 8cm and side margins is 6cm.

The representation is shown in diagram,

1x8
8x6
8x6
wx6
wx6
386cm2
8x6
8x6
1x8
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Image Transcriptionclose

1x8 8x6 8x6 wx6 wx6 386cm2 8x6 8x6 1x8

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Step 2

The minimized Area of printed material on poster is,

A 386+2(lx8)+2(wx 6)-4(8x6)
194+161+12w
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A 386+2(lx8)+2(wx 6)-4(8x6) 194+161+12w

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Step 3

Area of whole prin...

A =1xw
substitute the A value
194 16/+12w-lxw
194 16/1xw-12w
194+161-(1-12)w
194+16
(1-12)
help_outline

Image Transcriptionclose

A =1xw substitute the A value 194 16/+12w-lxw 194 16/1xw-12w 194+161-(1-12)w 194+16 (1-12)

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Math

Calculus

Derivative