Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional quantities? a=7.2 cm

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of squareSolution:Given that side of square "a" = 7.2 cmWe have to find the perimeter of squareThe perimeter of square is given as:Perimeter of square = 4aWhere "a" represents the length of side of squareSubstituting the given value a = 7.2 cm in above formula, we get perimeter of squarePerimeter of square = 4(7.2) = 28.8 cmAre the perimeter of the square and the length of its side directly proportional quantities?[tex]\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}[/tex]The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.Two values are said to be in direct proportion when an increase in one results in an increase in the other.So when length of sides increases, perimeter also increasesHence perimeter and length of side of square are directly propotional quantities