Solve for x if DEFG is a rectangle.

To solve for x when given that DEFG is a rectangle, we'd need additional information about the lengths of the sides, the angles, or a specific equation relating to the rectangle that includes x. A rectangle has specific properties such as opposite sides being equal in length, all angles being 90 degrees, and the diagonals being equal in length. However, without knowing how x is related to DEFG, it is not possible to find the value of x.

Please provide more details or a specific equation that involves x in the context of rectangle DEFG so that I can assist you in solving for x.

Extra: Understanding the properties of a rectangle is key to solving problems related to rectangles in geometry:

1. A rectangle is a quadrilateral with four right angles (each angle is 90 degrees).

2. Opposite sides are parallel and equal in length, which means AB = CD and BC = DA if AB, BC, CD, and DA are the sides of the rectangle.

3. The diagonals of a rectangle are congruent (equal in length), which means diagonal AC = diagonal BD.

4. The diagonals bisect each other, which means they cut each other exactly in half.

When dealing with algebraic expressions in geometry, variables like x are often used to represent the lengths of sides, measures of angles, or other geometric quantities. Solving for a variable typically involves creating or using equations that relate the variable to known quantities or other properties of the shape. For example, if you know that the perimeter of rectangle DEFG is 50 units and the length DE is represented as 2x and the width EF is represented as x - 5, you could set up the equation for the perimeter (P = 2(length) + 2(width)) and solve for x. However, without more specific information, we cannot proceed further.