Question

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

Answer 1

Answer:

9 cm

Step-by-step explanation:

In a parallelogram, opposite sides are equal.

RS = PQ

4x + 1 = 2x + 5

Now, to find the value of x,

Step1. Subtract 1 from both sides

4x = 2x + 5 - 1

4x = 2x + 4

Step 2: Subtract 2x from both sides

4x - 2x = 4

      2x = 4

Step 3: Divide both sides by 2

        x = 4/2

x = 2

PQ = 2x + 5

     = 2*2 + 5

     = 4 + 5

PQ = 9 cm