## Luigi0210 3 years ago 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?

1. Luigi0210

|dw:1359921377233:dw|

2. anonymous

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. anonymous

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

4. Elsa213

oooo a year later c: Heyo humans :D