Question

Question was provided via image upload.

Explanation:

Step1: Analyze the square part

The pattern has a square component. For figure number \( p \), the square is \( p \) by \( p \), so the number of tiles in the square is \( p^2 \).

Step2: Analyze the additional tiles

Looking at the pattern, each side of the square has additional tiles. The expression has \( 4p \), which suggests \( p \) tiles added to each of the 4 sides. So the additional tiles are \( 4p \) (since 4 sides with \( p \) tiles each: \( 4\times p = 4p \)).

Step3: Combine the parts

The total number of tiles is the number of tiles in the square (\( p^2 \)) plus the number of additional tiles (\( 4p \)), which matches the expression \( p^2 + 4p \).

Answer:

The pattern is made up of a \( \boldsymbol{p} \) by \( \boldsymbol{p} \) square plus an additional \( \boldsymbol{p} \) tile added to each side.
The total number of tiles is given by the number of tiles in the square, \( \boldsymbol{p^2} \), plus the number of additional tiles \( \boldsymbol{4p} \).