A jogging track is shaped like parallelogram WXYZ. The diagonals WY and XZ meet at O.
(a) Measurements along WY show WO=3z+1 metres and OY=z+9 metres. Form an equation in z and determine its value.
(b) Along the other diagonal, XO is measured as 2z−2 metres. Verify whether this reading is consistent with the properties of a parallelogram.
(c) Find the total length of diagonal XZ.