Points J and K, plotted on the coordinate grid, are two vertices of rectangle JKLM.

Rectangle JKLM has an area of 7 square units.
Point J is located at (2, 1) and point K is located at (-5, 1).
Each vertex of the rectangle is located at a point that has integer coordinates.



Part B – What is the perimeter of rectangle JKLM?

well, the width is 7 and the height is 1.

top is 37cm

right angel to 24cm
on the other side there is a right angel to 46 cm
tring to find the bottom

To find the perimeter of a rectangle, we need to add up the lengths of all four sides.

The length of the rectangle JKLM is the same as the distance between points J and K. We can find this distance using the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distance between J(2, 1) and K(-5, 1):

Distance = √((-5 - 2)^2 + (1 - 1)^2)
= √((-7)^2 + 0^2)
= √(49 + 0)
= √49
= 7

So, the length of the rectangle JKLM is 7 units.

The width of the rectangle is the same as the distance between points K and L. Since K and L have the same y-coordinate (1), the width is the difference between their x-coordinates:

Width = |x2 - x1|

Width = |-5 - (-5)|
= |0|
= 0

Since the width is 0 units, this means that the rectangle degenerates into a line segment, not a rectangle. Therefore, it doesn't have a perimeter.

In conclusion, the perimeter of rectangle JKLM is 7 units.

To find the perimeter of rectangle JKLM, we need to determine the length and width of the rectangle first.

The length of the rectangle is the difference between the x-coordinates of points J and K, since they are opposite vertices. In this case, the x-coordinate of point J is 2 and the x-coordinate of point K is -5. Therefore, the length is given by: Length = |2 - (-5)| = |2 + 5| = 7.

Similarly, the width of the rectangle is the difference between the y-coordinates of points J and K. In this case, the y-coordinate of both points J and K is 1. Therefore, the width is given by: Width = 1 - 1 = 0.

Since the width is 0, this means the rectangle is actually a line segment, not a rectangle. Therefore, the perimeter of JKLM is just equal to the length of the segment.

The perimeter of a line segment is simply the distance between its two endpoints. In this case, the endpoints of the line segment are points J and K.

To find the distance between two points on a coordinate grid, we can use the distance formula, which is given by: Distance = √((x2 - x1)^2 + (y2 - y1)^2).

So, the distance between points J and K is: Distance = √((2 - (-5))^2 + (1 - 1)^2) = √((2 + 5)^2) = √(7^2) = √49 = 7.

Therefore, the perimeter of rectangle JKLM is 7 units.