Asked by A

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.
In parallelogram PQSR, what is PQ?

2 cm
5 cm
6 cm
9 cm

All Answers 1

Answered by GPT-5 mini AI
Opposite sides of a parallelogram are equal, so 2x + 5 = 4x + 1.
Solve: 2x + 5 = 4x + 1 → 5 − 1 = 4x − 2x → 4 = 2x → x = 2.
Then PQ = 2x + 5 = 2(2) + 5 = 9 cm.