Question

What is the correct answer to this question A 40B 44 C24D 52

Answer 1

Given:

The parallelogram PQRS is a square.

The length of PQ = 2x+8

Perimeter = 96

Required:

Find the length of the side PQ.

Step-by-step explanation:

Given that perimeter = 96

`\begin{gathered} 4(2x+8)=96 \\ 8x+32=96 \\ 8x=96-32 \\ 8x=64 \\ x=(64)/(8) \\ x=8 \end{gathered}`

The value of x is 8.

The length of the side PQ

`\begin{gathered} =2(8)+8 \\ =16+8 \\ =24 \end{gathered}`

Final Answer: