Answer:The perimeter of parallelogram PQRS is 24 units.
Explanation:
There are two ways to solve this problem.
Method 1:
Step 1: Find the length of each side of the parallelogram:
PQ = V10
QR = V10
RS = 4/2
SP = 4/2
Step 2: Calculate the perimeter of the parallelogram:
Perimeter = PQ + QR + RS + SP
Perimeter = V10 + V10 + 4/2 + 4/2
Perimeter = 2V10 + 4
Method 2:
Step 1: Find the length of the diagonal of the parallelogram:
PQ = V10
RS = 4/2
Step 2: Use the formula for the perimeter of a parallelogram:
Perimeter = 2(PQ + RS)
Perimeter = 2(V10 + 4/2)
Perimeter = 2V10 + 4