A rectangle is constructed under the graph of

f(x) =$\displaystyle {25}-{x}^{{2}}$ with two corners on the x-axis and

two corners on the graph of f(x) = $\displaystyle {25}-{x}^{{2}}$ .



Represent the area A of the rectangle as a

function of x: A(x)=

Note: use ^ to raise x to a power (like x^2 for x squared).



What value of x will maximize the area of the

rectangle? Maximum area when x=

Note: Input the x value as a decimal number rounded

to two decimal places (like 34.12 or 4.67)