Question

perimeter = 164. solve for x and y.
x =
y =

Explanation:

Step1: Find the relationship between \(x\) and \(y\)

In a parallelogram, opposite sides are equal. So, \(x + y-12=y + 12\).
Simplify the equation:

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Step2: Use the perimeter formula

The perimeter formula of a parallelogram \(P = 2(a + b)\). Here \(P=164\), \(a=y\), \(b=x + y-12\). Substitute \(x = 24\) into the formula.

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Answer:

\(x = 24\), \(y = 35\)