PQRS is a parallelogram. QM is the height form 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) It is given in the question that,


SR = 12 cm


QM = 7.6 cm


We know that,


Area of parallelogram = Base × Height


= SR × QM


= 7.6 × 12


= 91.2 cm2


Area of parallelogram is 91.2 cm2


(b) It is given in the question that,


PS = 8 cm


QN = (To be calculated)


We know that,


Area of parallelogram = Base × Height


91.2 = PS × QN


91.2 = 8 × QN


QN =


= 11.4 cm


The value of QN is 11.4 cm


13