Answer:
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Step-by-step explanation:
Given
Shape: Parallelogram PQRS
Required
Find all possible values of x
<em>Every parallelogram have parallel and equal opposite sides;</em>
From the given parameters, one can easily deduce that PQ and SR are opposite sides;
This implies that
Substitute values of PQ and SR
Subtract 3x from both sides
Rearrange
Now, we have a quadratic equation;
Expand the above expression
Factorize
or
Solve for x in both cases
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<em>But x can't be negative;</em>
<em>So, the possible value of x is </em>
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