Question

in the diagram, ( sr = 4sqrt{2} ) and ( qr = sqrt{10} ). what is the perimeter of parallelogram pqrs?
( sqrt{10} ) units
( 8sqrt{2}+2sqrt{10} ) units
( 16sqrt{2} ) units
( 8sqrt{2}+8 ) units

Explanation:

Step1: Recall the property of a parallelogram

In a parallelogram, \(PQ = SR\) and \(PS=QR\).

Step2: Calculate the perimeter formula

The perimeter \(P\) of parallelogram \(PQRS\) is \(P = 2(SR + QR)\).

Step3: Substitute the given values

Given \(SR = 4\sqrt{2}\) and \(QR=\sqrt{10}\).

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Answer:

\(8\sqrt{2}+ 2\sqrt{10}\) units (Option \(8\sqrt{2}+ 2\sqrt{10}\) units)