A rectangle model shows \((x+5)(x+5)\). What type of visual model is this?

Correct answer: Square model

Correct answer: A. The two factors are identical: (x+5) and (x+5). A rectangle whose length and width are equal is a square, so the model is a square with side x+5. Its area can be written as (x+5)², and expanding it gives x²+10x+25. In an area diagram, this would contain an x-by-x square, two 5-by-x rectangles, and a 5-by-5 square. Option B is incorrect because a difference-of-squares model has factors such as (x+5)(x-5), not two equal positive factors. Option C is not an area model, and option D would involve triangular regions or a triangular shape. Memory cue: equal factors or equal sides signal a square model.