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Question

The opposite sides of a parallelogram are represented by $$3x + 12$$ and  $$5x - 20$$. Find the length of the side of the parallelogram represented by $$2x - 5$$.


A
21
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B
18
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C
27
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D
15
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Solution

The correct option is C $$27$$
We know the opposite sides of a parallelogram are equal.
So, $$3x + 12 = 5x - 20$$
$$\Rightarrow 5x - 3x = 20 + 12$$
$$\Rightarrow 2x = 32$$
$$\Rightarrow x = 16$$
Substitute the value of $$x$$ in the value of side equation $$2x - 5$$
$$2x-5=2(16) - 5 = 27$$

Mathematics

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