Question Find the dimensions of the rectangle of maximum area that can be formed from a 30-m piece of wire. (Use decimal notation. Give your answer to two decimal places, if necessary.) maximum area: m length of the rectangle: וח width of the rectangle:
WNVF4C The Asker · Calculus
Transcribed Image Text: Find the dimensions of the rectangle of maximum area that can be formed from a 30-m piece of wire. (Use decimal notation. Give your answer to two decimal places, if necessary.) maximum area: m length of the rectangle: וח width of the rectangle:
More Transcribed Image Text: Find the dimensions of the rectangle of maximum area that can be formed from a 30-m piece of wire. (Use decimal notation. Give your answer to two decimal places, if necessary.) maximum area: m length of the rectangle: וח width of the rectangle:
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Soln{:[" Let Length \& breadth (width) of a "],[" rectangle are "xsy". "],[2(x+y)=30],[x-1y=(30)/(2)=15],[:.y=15-x-1],[" Area "A=xy],[A(x)=x(15-x)=15 x-x^(2)],[A^(')(x)=15-2x],[" For maxim'izing "A^(')(x)=0], ... See the full answer