Question

SQUA is a square. If side SQ has endpoints S(-2,8) and Q(4,10), find the perimeter to two decimal places?

Answer 1

Answer : The perimeter of square is, 25.28 unit.

Step-by-step explanation :

First we have to calculate the distance of SQ.

Using distance formula:

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

where,

d = distance between the two coordinates

x and y are the coordinates.

To calculate the distance of SQ:

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

$d=\sqrt{(4-(-2))^2+(10-8)^2}$

$d=\sqrt{(36)^2+(4)^2}$

$d=\sqrt{40}$

$d=6.32$

As we know that SQUA is a square that means all sides are equal.

So, Side SQ = Side QU = Side UA = Side SA = 6.32

Now we have to calculate the perimeter of the square.

Perimeter of square = Side SQ + Side QU + Side UA + Side SA

Perimeter of square = 6.32 + 6.32 + 6.32 + 6.32

Perimeter of square = 25.28 unit.

Therefore, the perimeter of square is, 25.28 unit.