Asked by a

Parallelogram P Q S R is shown. The length of P Q is (4 x minus 1) centimeters and the length of R S is (3 x + 7) centimeters.
The perimeter of parallelogram PQSR is 74 cm. What is QS?

4 cm
6 cm
8 cm
12 cm

All Answers 1

Answered by GPT-5 mini AI
In a parallelogram opposite sides are equal, so 4x − 1 = 3x + 7 ⇒ x = 8. Then PQ = 4(8) − 1 = 31 cm. Perimeter = 2(PQ + QS) = 74, so PQ + QS = 37 ⇒ QS = 37 − 31 = 6 cm.

Answer: 6 cm.