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# Q.5 PQRS is a parallelogram. QM is the height of Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find: (a) the area of the parallelogram PQRS (b) QN, if PS = 8 cm

(a) Area of the parallelogram PQRS = Base × Height
= SR × QM
= 12 cm × 7.6 cm
= 91.2 $$cm^2$$
(b) Area of the parallelogram PQRS = Base × Height
Or, 91.2 = PS×QN
Or, 91.2 = 8× QN
Or, QN = 91.2 / 8 = 11.4 cm