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.

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

8 0

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

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