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Question
In a parallelogram PQRS (See the diagram) PM and PN are the heights corresponding to the sides QR and RS respectively. If the area of the parallelogram is 900 sq.cm and the length of PM and PN are 20 cm and 36 cm respectively, find the length of the sides QR and SR
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Solution
Considering QR as base of the parallelogram height h1 = 20 cm
Area of the parallelogram = 900 cm2
b1 × h1 = 900, b1 × 20 = 900
b1 = `900/20` = 45 cm
Again considering SR as base height = 36 cm, Area = 900 cm2
b2 × h2 = 900, b2 × 36 = 900
b2 = `900/36`
b2 = 25 cm
SR = 25 cm, QR = 45 cm, SR = 25 cm
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