The diagonals of the rectangle KMOP intersect at point C side KP = 7cm diagonal OK = 9cm.

The diagonals of the rectangle KMOP intersect at point C side KP = 7cm diagonal OK = 9cm. Define the shape of the triangle MOC.

The properties of the rectangle are used here:
opposite sides are equal;
the diagonals are equal and the intersection point is divided into equal segments.
Thus:
KР = MO = 7 cm;
KO = MR = 9 cm;
CO = 1/2 KO = 1/2 * 9 = 4.5 (cm), CM = 1/2 MР = 1/2 * 9 = 4.5 (cm), CO = CM;
СMO triangle – isosceles with MO base;
P = MO + CO + MС = 4.5 + 4.5 + 7 = 16 (cm).