Question

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The end points of one side of a square are (3, -1) and (7,2). Find the perimeter of the square.

Answer 1

The perimeter is 20 units

Step-by-step explanation:

The end-point of a side of square can be used to calculate length of a side. And the side will be used to calculate the perimeter.

Given

(3,-1) and (7,2)

Let

(3,-1) = (x1,y1)

(7,2) = (x2,y2)

We have to calculate the distance

The formula for distance is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let s be the side of a square

then,

$s=\sqrt{(7-3)^2+(2-(-1))^2}\\s=\sqrt{(4)^2+(2+1)^2}\\=\sqrt{16+(3)^2}\\=\sqrt{16+9}\\=\sqrt{25}\\=5\ units$

The side of square is 5 units. Then,

$Perimeter=P=4s\\=5*4\\=20\ units$

The perimeter is 20 units

Keywords: Perimeter, Square

Learn more about perimeter at:

• brainly.com/question/10941043
• brainly.com/question/10978510

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