Final answer:
To find the area of the rectangle with vertices F(6, 2), G(6, -2), H(-3, 2), and J(-3, -2), calculate the width and height from the coordinates and multiply them. The area is 36 square units.
Step-by-step explanation:
The question asks us to find the area of a rectangle with vertices given as F(6, 2), G(6, -2), H(-3, 2), and J(-3, -2) on a coordinate graph. To find the area of a rectangle, you need to multiply its length by its width. Look at the x-coordinates of F and H (or G and J) to find the width of the rectangle, and the y-coordinates of F and G (or H and J) to find the height of the rectangle.
Given the coordinates, the width (horizontal distance) of the rectangle is the difference between the x-coordinates of F and H, which is: 6 - (-3) = 9 units. The height (vertical distance) of the rectangle is the difference between the y-coordinates of F and G, which is: 2 - (-2) = 4 units. Now, calculate the area by multiplying the width and height: Area = width × height = 9 × 4 = 36 square units.