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