Question

there is a diagram.
the running track in the diagram consists of two parallel sections with semicircular sections at each end. determine the area of the track.
the diagram looks like this:
h ttp://oalevelsolutions.com/CIE_GCE_AS_Maths_P1_13_Nov_11_Q_8_files/image001.png

there is no space between h and ttp in the link above

The rectangle in the running track has only the measurements. the measurements for the rectangle: length is 85m and the diameter is split into two radius: 36.41m and 46.41m

Answer 1

If the two radii are not equal, then the interior is not a rectangle. Since the diagram just shows one r, I suspect a typo.

In any case, what is your question?
The length of the track is two lengths of a rectangle that is x by 2r, plus a full circle of radius r, right?

That would be 2x + 2pi r