Final answer:
To find the area of the rectangle DEFG, use the formula for the area of a rectangle, which is length times width.
Step-by-step explanation:
To find the area of the rectangle DEFG, we can use the formula for the area of a rectangle, which is length times width. In this case, the length is the distance between the points D and E, and the width is the distance between the points D and G. Using the distance formula, we can calculate the length and width:
Length = √[(2 - (-8))^2 + (7 - 2)^2]
Width = √[(-4 - 2)^2 + (-5 - (-8))^2]
Once we have the length and width, we can multiply them together to find the area: Area = Length × Width
Remember to substitute the values into the formula and perform the calculations to find the final answer.