What is the perimeter of this rectangle?

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... To Follow ...

As the shape is declared to be a rectangle, then ...

y = x - 14

and

x = 2 y + 2

Rearranging the second equation to the same structure as the first.

2 y = x - 2

Subtracting the first equation from the second

y = 12

Substituting this into the first equation

12 = x - 14

x = 26

The perimeter of a rectangle is given by

P = 2 (l + w)

P = 2 (x - 14 + x)

P = 4 x - 28

P = 76

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