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The perimeter of the rectangle is 2•66+2•32=196196/4(sides of a square)=49 cm
perimeter_of_square = 4 x side ⇒ side = perimeter ÷ 4 = 52 cm ÷ 4 = 13 cm area_of_square = side2 = (13 cm)2 = 169 cm2
Since it is a square, all four sides are the same. The side is sqrt(25 cm2) = 5 cm. The perimeter is 4 x 5 cm = 20 cm.
The perimeter is 20*sqrt(2) cm = 28.2843 cm
Consider a square with sides of length x cm whose area is x2 cm and perimeter is 4x cm. Next consider a rectangle with sides of 2x cm and x/2 cm. It area is 2x*x/2 = x2, the same as for the square. But its perimeter is 2*(2x+x/2) = 5x > perimeter of the square. Perimeter of 3x * x/3 = 62/3x cm. Perimeter of 100x * x/100 = 200.02x cm Perimeter of 1000000x * x/1000000 = 2000000.000002x cm. As you can see, it is possible to increase the perimeter without limit.