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The coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 when point D is placed on this square what will the perimeter of the square be?

User Kraysak
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1 Answer

5 votes

Answer:

The perimeter of square will be 18 units

Explanation:

We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )

When point D is placed on this perimeter.

We have to find the perimeter of the square.

First we have to find the side of square by using the distance formula

Distance formula


√((x_2-x_1)^2+(y_2-y_1)^2)

Coordinates of A=(-5/2,3/2)

Coordinates of B=(-5/2,-3)

Length of side AB=
√((-5/2+5/2)^2+(-3-3/2)^2)

Length of side AB=
√(0+(-9/2)^2)

Length of side AB=9/2 units

Now, the perimeter of square=4 (side)

Using the formula

Perimeter of square=4(9/2)=18 units

User Andreas Bilger
by
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