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16 June, 02:51

The coordinates of three vertices of a square are (1, - 2), (5, - 2), and (5, 2). a) What are the coordinates of the fourth vertex? b) What is the area of the square?

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  1. 16 June, 04:28
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    Correct answer: D = (1, 2); A = 16 units²

    Step-by-step explanation:

    Given:

    A (1, - 2), B (5, - 2), C (5, 2) D (?,?)

    If the square is drawn in the Descartes coordinate system, the coordinates are of the fourth vertex D (1, 2)

    If we subtract the coordinates on the x axis

    5 - 1 we get side of the square a = 4

    The formula for the area of a square is:

    A = a²

    A = 4² = 16 units²

    A = 16 units²

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