Question
Download Solution PDFPQRS is a parallelogram, PX ⊥ SR and RY ⊥ PS. If PQ = 21 cm, PX = 8 cm and RY = 12 cm, find PS.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
PQRS is a parallelogram
PQ = 21 cm
PX ⟂ SR
RY ⟂ PS
PX = 8 cm
RY = 12 cm
Formula used:
Area of parallelogram = Base × Height
Calculation:
Area using PQ and PX:
Area = PQ × PX
⇒ Area = 21 cm × 8 cm
⇒ Area = 168 cm2
Area using PS and RY:
Area = PS × RY
⇒ 168 cm2 = PS × 12 cm
⇒ PS = 168 cm2 ÷ 12 cm
⇒ PS = 14 cm
∴ The correct answer is option (1).
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