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=?
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=?
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,
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1x8 8x6 8x6 wx6 wx6 386cm2 8x6 8x6 1x8
The minimized Area of printed material on poster is,
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A 386+2(lx8)+2(wx 6)-4(8x6) 194+161+12w
Area of whole prin...
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A =1xw substitute the A value 194 16/+12w-lxw 194 16/1xw-12w 194+161-(1-12)w 194+16 (1-12)
Math
Calculus
Derivative
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