Hello, Aquameatwad!
I don't believe the problem is asking for the largest possible base.
A circle wih R=24 has a inscribed trapezoid with the largest ? base
twice as long as other base and the two sides.
Find the length of the sides of the trapezoid and its area?
I think it is referring to the longer base:
. . "The longer base is twice as long as the other base and the two sides."
Then the trapezoid looks like this:
Code:
24
* - - - - - *
/ . . \
/ . . \
24 / . . \ 24
/ . . \
/ . . \
* - - - - - * - - - - - *
24 24
The trapezoid is half of a regular hexagon.
It is comprised of three equilateral triangles with side 24.
You should be able to calculate its area.