Question

1. the perimeter of a square is 4 times as great as the length of any of its sides. determine if the perimeter of a square is proportional to its side length. explain.

Explanation:

Step1: Recall Perimeter Formula

A square has 4 equal sides. Let side length be \( s \), perimeter \( P = 4s \).

Step2: Check Proportionality

Proportional relationship is \( y = kx \) (constant \( k \)). Here, \( P = 4s \), \( k = 4 \) (constant). So \( P \) is proportional to \( s \).

Answer:

Yes, the perimeter of a square is proportional to its side length because the perimeter formula \( P = 4s \) fits the proportional relationship form \( y = kx \) (where \( k = 4 \), a constant), meaning as the side length \( s \) changes, the perimeter \( P \) changes by a constant multiple of 4.