Given:
The parallelogram PQRS is a square.
The length of PQ = 2x+8
Perimeter = 96
Required:
Find the length of the side PQ.
Explanation:
Given that perimeter = 96
[tex]\begin{gathered} 4(2x+8)=96 \\ 8x+32=96 \\ 8x=96-32 \\ 8x=64 \\ x=\frac{64}{8} \\ x=8 \end{gathered}[/tex]
The value of x is 8.
The length of the side PQ
[tex]\begin{gathered} =2(8)+8 \\ =16+8 \\ =24 \end{gathered}[/tex]
Final Answer:
