Can someone please walk me through this
you have 100 meters of fencing material to enclose a rectangular plot of land. Your goal is to determine the dimensions of the plot that would maximize the area.
Express the area of the rectangular plot as a function of the length x of one side.---- i think that this would be A(x)= x((100-2x)/2)
a. when x is 0 A(x)= ?
when x is 5 A(x)=?
when x is 10 A(x)=?
b. What is the realistic domain of the function?
c. Solve the problem algebraically by showing that the area function can be written as A(x)=625-(x-25)^2 and how does this form of the function allow you to find the dimensions that produce a maximum area?
d. discuss the strengths and weaknesses of the three strategies
e.could you make another shape which allows you to use 100 meters of fencing to enclose a greater are?
you have 100 meters of fencing material to enclose a rectangular plot of land. Your goal is to determine the dimensions of the plot that would maximize the area.
Express the area of the rectangular plot as a function of the length x of one side.---- i think that this would be A(x)= x((100-2x)/2)
a. when x is 0 A(x)= ?
when x is 5 A(x)=?
when x is 10 A(x)=?
b. What is the realistic domain of the function?
c. Solve the problem algebraically by showing that the area function can be written as A(x)=625-(x-25)^2 and how does this form of the function allow you to find the dimensions that produce a maximum area?
d. discuss the strengths and weaknesses of the three strategies
e.could you make another shape which allows you to use 100 meters of fencing to enclose a greater are?