Question

In parallelogram PQSR, what is PQ?

PQ = ___ cm.


HELP QUICKLY PLEASE!!!!!!!

Answer 1

one of the rules for a parallelogram is that opposite sides are congruent.
so...all you need to do is set up the equation which is 2x + 5 = 4x + 1
move 2x to other side (meaning subtract 2x from both sides) to get 5 = 2x + 1
move 1 to other side to get 4 = 2x
divide both sides by 2 to get 2 = x
now all you need to do is plug it in the equation for PQ which is 2(2) + 5 to get 9

Answer 2

The value of side PQ of the given parallelogram is; PQ = 9

Parallelogram Properties

In parallelograms, we know that they usually have 4 sides. However 2 of the parallel sides are equal.

Thus, from the given parallelogram PQSR, we can say that;

PQ = RS

Thus;

2x + 5 = 4x + 1

Rearranging gives us;

4x - 2x = 5 - 1

2x = 4

x = 4/2

x = 2

Thus; PQ = (2x + 5) = 2(2) + 5 = 9

Read more on parallelograms at; https://brainly.com/question/24056495