Question

What is the perimeter of square EFGH, shown? A. 14.1 B. 28.3 C. 34.6 D. 17.3

Answer 1

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 $\sqrt{2}$  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 $\sqrt{2}$ )

Or,          The perimeter of square = 20 × ( $\sqrt{2}$ ) = 28.28 unit

Hence The perimeter of square EFGH is 28.28 units   Answer