ce amaths - differentation

ABCD is a trapezium with AB//CD AND AB＞DC. AD=BC=2√3, DC =10, E AND F ARE POINTS ON AB such that DE AND CF IS PERDENCIRULAR TO AB. The area of the trapezium can be adjusted by changing the sizes of ∠adc and ∠bcd.

a) Find the height and area of the trapezium ABCD in termsof x.

b)Determine the possible range of values of x.

c)Hence find the values of x such that the area opf the trapezium is maximum.



IS A TRAPEZIUM WITH ab//dc and AB