5. A handball court is to be surrounded by plastic stripping that is 40m long. One side does not need the plastic because it is a brick wall. What must be the dimensions if the rectangular court in order to obtain a maximum
area? What is the maximum area of the court? [6A)

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation:

in total they made   333.74 your welcome : d

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen