Find the area of rectangle JKLM with vertices J ( -5, -2 ), K ( -1, -2), L ( -1, 7 ), and M ( -5, 7 ).
To find the area of a rectangle, we can use the formula:
Area = length x width
First, we need to find the length of the rectangle. This can be done by finding the difference between the x-coordinates of points J and K (or L and M) since they lie on the same horizontal line.
Length = |-1 - (-5)| = 4
Next, we need to find the width of the rectangle. This can be done by finding the difference between the y-coordinates of points J and L (or K and M) since they lie on the same vertical line.
Width = |7 - (-2)| = 9
Now, we can calculate the area of the rectangle by multiplying the length and width:
Area = 4 x 9 = 36
Therefore, the area of rectangle JKLM is 36 square units.