5. PQRS is a parallelogram (Fig 11.23). OM is the height from 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 parallegram PQRS (b) ON, if PS = 8 cm
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Step-by-step explanation:
(a) Given, Base = 12 cm, Height = 7.6 cm
Area of the parallelogram PQRS = Base × Height
= 12cm × 7.6cm
= 91.2 sq cm
(b) Given; Base PS = 8cm, Area of the parallelogram(as calculated in the above question) = 91.2 cm2, Height QN= ?
Area = Base × Height
⇒ 91.2cm^2 = 8cm×QN
Or,QN=91.2 / 8 = 11.4 cm
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