Optimization
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Freemathhelp.com is a tutoring web site; these message boards are for tutoring. Please begin by telling us what you have tried or thought about thus far.
You need to develop a function that outputs the area of a rectangle in terms of a single variable.
Did you draw a picture and think about it?
You could put the right-angle's vertex at the origin of a coordinate system such that the triangle lies in Quadrant I.
Assign one given dimension for the base and the other for the height (does not matter which goes where). Next, you could write an equation for the line passing through the hypotenuse (in terms of x) because the lower-left corner of possible rectangles is at the origin and the upper-right corner is located on the triangle's hypotenuse, yes?
Does this information get you going toward writing the rectangle-area function?
Once you have the function, take its derivative to determine where the derivative is zero.
Cheers :cool:
You need to develop a function that outputs the area of a rectangle in terms of a single variable.
Did you draw a picture and think about it?
You could put the right-angle's vertex at the origin of a coordinate system such that the triangle lies in Quadrant I.
Assign one given dimension for the base and the other for the height (does not matter which goes where). Next, you could write an equation for the line passing through the hypotenuse (in terms of x) because the lower-left corner of possible rectangles is at the origin and the upper-right corner is located on the triangle's hypotenuse, yes?
Does this information get you going toward writing the rectangle-area function?
Once you have the function, take its derivative to determine where the derivative is zero.
Cheers :cool: