Question

perimeter = 164. solve for x and y.

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, opposite sides are equal. So, \(x = 12.8\) cm.

Step2: Use the perimeter formula

The perimeter \(P\) of a parallelogram is \(P=2(a + b)\), where \(a\) and \(b\) are adjacent sides. Here \(P = 164\), \(a=y\), \(b = 12.8\).
Substitute into the formula: \(164=2(y + 12.8)\).
Divide both sides by 2: \(\frac{164}{2}=y + 12.8\).
\(82=y + 12.8\).
Subtract 12.8 from both sides: \(y=82 - 12.8\).
\(y = 69.2\) cm.

Answer:

\(x = 12.8\) cm, \(y = 69.2\) cm