Question

in the diagram, sr = 4√2 and qr = √10. what is the perimeter of parallelogram pqrs?
√10 units
8√2 + 2√10 units
16√2 units
8√2 + 8 units

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite sides are equal. So, $PQ = SR$ and $PS=QR$.

Step2: Calculate the perimeter formula

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

Step3: Substitute given values

Given $SR = 4\sqrt{2}$ and $QR=\sqrt{10}$, then $P=2\times4\sqrt{2}+2\times\sqrt{10}=8\sqrt{2}+2\sqrt{10}$.

Answer:

B. $8\sqrt{2}+2\sqrt{10}$ units