The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).When point D is placed on this square, what will the perimeter of the square be?Enter your answer in the box.

Respuesta :

The perimeter of a shape is the total measurement of all the edges of a shape.

Perimeter of the square is 460 unit.

Since, coordinates of three vertices of square ABCD are given as   A(−212,112),   B(−212,−3) and C(2,112).

If coordinate of M(a, b) and N(c, d) are given.

Then by using distance formula,

[tex]MN=\sqrt{(d-b)^{2} +(c-a)^{2} }[/tex]

Similarly,  [tex]AB=\sqrt{(-3-112)^{2}+(-212+212)^{2} } \\\\AB=115[/tex]

In square, all four sides are equal.

Perimeter of Square, [tex]=4*side[/tex]

                                  [tex]=4*115=460[/tex] unit.

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