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## Luigi0210 Group Title A rectangle is bounded by the x and y axes and the graph of the line y= (-1/2)x+3. What length and width should the rectangle have so its area is maximum? one year ago one year ago

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1. Luigi0210 Group Title

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2. satellite73 Group Title

base of rectangle will be $$x$$ and height will be $$-\frac{1}{2}x+3$$ so area is $A(x)=x(-\frac{1}{2}x+3)=-\frac{1}{2}x^2+3x$\]

3. satellite73 Group Title

max will be at the vertex, which is at $$-\frac{b}{2a}=3$$