SQUA is a square. If side SQ has endpoints S(-2,8) and Q(4,10), find the perimeter to two decimal places?HURRY!!
Answers
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:
where,
d = distance between the two coordinates
x and y are the coordinates.
To calculate the distance of SQ:
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.
Final answer:
To find the perimeter of the square, calculate the length of one side using the distance formula and multiply it by 4.
Explanation:
To find the perimeter of a square, we need to know the length of one side and multiply it by the number of sides. In this case, the length of one side can be found using the distance formula, which is the square root of the sum of the squared differences in the x-coordinates and y-coordinates of the endpoints of the side. So, the length of side SQ is:
Length of SQ = √((-2 - 4)2 + (8 - 10)2) = √((-6)2 + (-2)2) = √(36 + 4) = √40 ≈ 6.32
The perimeter of the square is found by multiplying the length of one side by 4, since a square has 4 equal sides:
Perimeter = 4 * Length of SQ = 4 * 6.32 = 25.28
Therefore, the perimeter of the square to two decimal places is 25.28 units.
Learn more about Perimeter of a Square here:
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