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Look at the square WXYZ on the coordinate plane. What is the perimeter of the square WXYZ?

A) 20units
B) 25.6units
C) 32units
D) 40.9units

Look at the square WXYZ on the coordinate plane. What is the perimeter of the square-example-1

1 Answer

5 votes

Answer: Option B.

Explanation:

The perimeter of a square is equal to 4 times the lenght of one side.

For this we can calculate the difference between two of the vertices.

The vertex Z is at (0, 5) and the one in W is at (-4,0)

Then the difference is equal to:

Z - W = (0, 5) - (-4, 0) = (4, 5)

We can calculate the lenght of this vector as:

L = √(4^2 + 5^2) = √(16 + 25) = √41 = 6.4 units.

then the perimeter is 4*6.4 units = 25.6 units

The correct option is B.

User Vicky Leong
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