Answer:
The perimeter of square EFGH is 28.28 units
Step-by-step explanation:
Given in the figure as :
EFGH is a square with points E,F,G,H
∵ The measure of each points from center o is same
I.e OE = OF = OG = OH = 5 units
Now, From any of two length from center o , we can measure the length of each side .
So, (OG)² + (OF)² = (GF)²
Or, (5)² + (5)² = (GF)²
Or, 25 + 25 = (GF)²
Or, (GF)² = 50
∴ GF = 5 [tex]\sqrt{2}[/tex] unit
Similarly each side EF, GH , EH have same length
Now, As The perimeter of square = 4 × side
So, The perimeter of square = 4 × ( 5 [tex]\sqrt{2}[/tex] )
Or, The perimeter of square = 20 × ( [tex]\sqrt{2}[/tex] ) = 28.28 unit
Hence The perimeter of square EFGH is 28.28 units Answer
