Question

If the perimeter and the square is equal, write the measure of its sides.

Answer 1

$\bold{ \underline{ \: Perimeter \: \: of \: \: square =4 \times side }} \: \: \: \: \: \: \: \: \: \: \: \: - - - - - - - - - - - ( \: 1 \: )$


$\bold{ \underline{Area \: \: of \: \: \: square = side \times side}} \: \: \: \: \: \: \: \: \: \: \: \: \: - - - - - - - - - - - - - - - ( \: 2 \: )$




Given, Perimeter of square = Area of square




From ( i ) & ( ii ) ,



4 × side = side × side


$\bold{ \frac{4 \times \cancel{side}}{ \cancel{side}} = side }$



4 = side







Hence, side of square will be 4 units.

Answer 2

Area and the perimeter is equal

area = s²

perimeter = 4s

4s = s²

4s = s × s

4s / s = s

4 = s

side = 4