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Question
Find the perimeter of the figure given below:

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Solution
We know that, perimeter is the sum of all sides
Perimeter of the given figure = AB + BC + CD + DA
= (5x – y) + 2(x + y) + (5x – y) + 2(x + y)
= 5x – y + 2x + 2y + 5x – y + 2x + 2y
On combining the like terms,
= 5x + 2x + 5x + 2x – y + 2y – y + 2y
= 14x + 2y
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