Question

What is the perimeter of square EFGH, shown?

A. 14.1
B. 28.3
C. 34.6
D. 17.3

Answer 1

The perimeter of square EFGH is 28.28 units

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
`√(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
`√(2)` )

Or, The perimeter of square = 20 × (
`√(2)` ) = 28.28 unit

Hence The perimeter of square EFGH is 28.28 units Answer