Question

A square is drawn on a coordinate grid

so that two diagonally opposite vertices
of the square have coordinates (-3,9)
and (5,1).
Work out the perimeter of this square.

Answer 1

The perimeter of the square is 32 units.

Step-by-step explanation:

To find the perimeter of the square, we need to determine the length of one side and then multiply it by 4. We can use the distance formula to find the side length of the square. Using the coordinates (-3,9) and (5,1), we can calculate the horizontal distance as 5 - (-3) = 8 and the vertical distance as 1 - 9 = -8. Since we're only interested in the magnitude of the distances, we take the absolute value of -8 to get 8. Thus, the side length of the square is 8 units. Multiplying it by 4 gives us a perimeter of 32 units.

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