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Question

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]


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Solution


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


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