Rectangle side is represented by (2,3) and (-6,4). Find the perimeter of rectangle.
Is this correct?
(-6-2), 4-3)
sqrt(8^2+1^2)
sqrt(65)
=8.062257748(2)
=16.124?
Hmmmm.
one side is given, corners at given two points, so you know that side, and the opposite side. You can determine the length of that side, and the directions of the perpendicular sides. How can this determine the length of the other two sides? You determined the length of that given side (and the opposite side, it is a rectangle). I do not see any way to determine the other two sides.
I multipled by 2 since its a rectangle, there is an example of similiar to this question but its a triangle.
Ok, you got two sides. You have to have more information to get the other two sides. You need three points.
To find the perimeter of a rectangle, you need to add up the lengths of all four sides.
First, let's find the lengths of the sides using the coordinates provided. The two sides of the rectangle are represented by the points (2,3) and (-6,4).
The length of the first side can be calculated using the distance formula:
Length = √((x2 - x1)^2 + (y2 - y1)^2)
For the first side, the coordinates are (2,3) and (-6,4). Plugging them into the formula, we get:
Length = √((-6-2)^2 + (4-3)^2)
= √((-8)^2 + (1)^2)
= √(64 + 1)
= √65
Now, let's find the length of the second side using the same formula:
Length = √((x2 - x1)^2 + (y2 - y1)^2)
For the second side, the coordinates are (-6,4) and (2,3). Plugging them into the formula, we get:
Length = √((2-(-6))^2 + (3-4)^2)
= √((2+6)^2 + (-1)^2)
= √((8)^2 + (-1)^2)
= √(64 + 1)
= √65
Since the opposite sides of a rectangle are parallel and equal in length, we have found two sides of the rectangle with the same length (√65 units).
To find the perimeter, we add the lengths of all four sides:
Perimeter = 2 * (Length of side 1 + Length of side 2)
= 2 * (√65 + √65)
= 2 * (2√65)
= 4√65
So, the perimeter of the rectangle is 4√65 units.