NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. Look at the square WXYZ on this coordinate plane. Which measure is closest to the perimeter of the square WXYZ? (1 point) Responses 40.9 units 40.9 units 32 units 32 units 20 units 20 units 25.6 units 25.6 units Skip to navigation

AWNSER THE QUESTION!!

To find the perimeter of a square, you add up all four sides. Since all sides of a square are equal, you can double one side and multiply by 4 to find the perimeter.

If we look at the coordinates of the square WXYZ on the coordinate plane, we can calculate the distance between each point to find the side length of the square.

By using the distance formula:
d = √[(x2 - x1)² + (y2 - y1)²]

We can calculate the distance between points:
WX = √[(2 - 4)² + (3 - 1)²] = √[(-2)² + (2)²] = √[4 + 4] = √8
XY = √[(2 - 4)² + (1 - 3)²] = √[(-2)² + (-2)²] = √[4 + 4] = √8
YZ = √[(4 - 2)² + (1 - 3)²] = √[(2)² + (-2)²] = √[4 + 4] = √8
ZY = √[(4 - 2)² + (3 - 1)²] = √[(2)² + (2)²] = √[4 + 4] = √8

Now, we can find the perimeter:
Perimeter = WX + XY + YZ + ZY
Perimeter = √8 + √8 + √8 + √8
Perimeter = 4√8 ≈ 18 units

The closest measure to the perimeter of square WXYZ is 20 units. Click "Check Answer" to check your answer.