A quadrilateral plot LMNO is suspected to be a parallelogram. The diagonals LN and MO intersect at P.
(a) Given LP=30 m and PN=2x−5 m, find x.
(b) Using this value of x, determine the length of MP.
(c) The surveyor has recorded PO=x+7 m. Compare the lengths of MP and PO and state, with reason, whether the data support the claim that LMNO is a parallelogram.