Question

In the given figure, QR = 8 cm, RS = 12 cm, PR = (3x − 1) cm and TR = (4x + 2) cm.
What is the measure of PR?

Answer 1

Answer:

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Step-by-step explanation:

Here, PS || QR [given]

∴ PQRS is a trapezium

Now, TR ⟂ PS and PQ || TR [given]

⇒ PQ ⟂ PS

∴ PQ = TR = 3 cm [given]

Now, ar(quad. PQRS) = 1/2 (PS + QR) × PQ = 1/2 (12 + 8) × 3 = 30 cm2