Question

What expression in terms of x can be used to represent the area of parallelogram PQRS?

Answer 1

C. (5x√2)² = 50x²

Explanation:

Area of parallelogram = QR²

QR = √((5x)² + (5x)²) ---› pythagorean theorem

QR = √(25x² + 25x²) =

QR = √(50x²)

QR = √(25*2*x²)

QR = 5x√2

✔️Area of parallelogram = QR²

= (5x√2)² = 25x² × 2 = 50x²