PQRS is a parallelogram with PS = 4 cm and AR ∥ PB. If Area of triangle APS = 48 cm2, find the height of triangle QRB. [2 MARKS]
Concept : 1 Mark
Calculation : 1 Mark
PS = QR = Base of △QRB = 4 cm
Parallelogram PQRS and triangle APS are on same base PS and between same parallels .
ar(△APS)= 12 ar(PQRS)
Also, Parallelogram PQRS and triangle QRB are on same base QR and between same parallels QR and PS .
ar(△QRB)= 12 ar(PQRS)
So, ar(△APS) = ar(△QRB) = 48 cm2
ar(△QRB) = 12× QR × required height
⇒ 48 = 12 × 4 × height
⇒ height = 24 cm