Question

What is the perimeter of square EFGH, shown?

A. 14.1
B. 28.3
C. 34.5
D. 17.3

Answer 1

B. 28.3

Explanation:

Because this is a square, you just need to find the length of one side.

Let us pick one side:

Line EF

The coordinates of the two points of Line EF are (0,5) and (5,0)

The distance formula between two points is:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

So we just fill in the formula and solve:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\d=√((5-0)^2+(0-5)^2)\\\\d=√((5)^2+(-5)^2)\\\\d=√(25+25)\\\\d=√(50)\\\\ d=7.07 units`

Now that we have that, we just multiply it by 4.

7.07 units x 4 = 28.28 units or 28.3 units