Question
Download Solution PDFIn the given figure, PQRS is a trapezium in which PM || SN, NR = 9 cm, PS = 12 cm, QM = NR and NR = SN. What is the area (in cm2) of trapezium?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
PS = 12 cm
NR = 9 cm
QM = NR and NR = SN
Formula Used:
Area of Trapezium = (1/2) × (Sum of Parallel Sides) × Height
Calculation:
According to the question,
QM = NR and NR = SN
⇒ QM = NR = SN = 9 cm
Again according to the question,
PM || SN
⇒ PS = MN = 12 cm
In trapezium PQRS,
QR = QM + MN + NR
⇒ QR = 9 + 12 + 9 = 30 cm
Height = SN = 9 cm
Area of Trapezium = (1/2) × (PS + QR) × SN
⇒ Area of Trapezium = (1/2) × (12 + 30) × 9
⇒ Area of Trapezium = (1/2) × (12 + 30) × 9
⇒ Area of Trapezium = 189 cm2
Last updated on Jun 25, 2025
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