Question

Observe the following 5 squares of different sides given in the graph sheet.

The measures of the sides are recorded in the table given below. Find the corresponding perimeter and the ratios of each of these with the sides given and complete the table

Side of the square (x) in cm	2	3	4	5	6
Perimeter of the square (y) in cm
\(\frac{x}{y}\)

From the information so obtained state whether the side of a square is in direct proportion to the perimeter of the square.

Answer 1

Perimeter of the square y = 4x, units where x is the side of a square

Completing the table 

Side of the square (x) in cm	2	3	4	5	6
Perimeter of the square (y) in cm	8	12	16	20	24
\(\frac{x}{y}\)	\(\frac{1}{4}\)	\(\frac{1}{4}\)	\(\frac{1}{4}\)	\(\frac{1}{4}\)	\(\frac{1}{4}\)

From the above table we find that as x increases y also increased in such a way that \(\frac{x}{y}=\frac{1}{4}\), constant.

∴ Side of a square is in direct proportion to the perimeter of the square.