In a visual model using algebra tiles, the expression x²+2xy+y² represents the area of which figure?

Correct answer: A square with side x+y

The correct answer is B. Use the identity (x+y)² = x²+2xy+y². In an algebra-tile model, x² is represented by one square tile, y² by another square tile, and 2xy by two equal rectangular xy tiles. These four pieces fit together to make one large square whose side is x+y. Option A describes a rectangle with area xy, so it does not contain x², 2xy, and y². Option C corresponds to (x−y)² = x²−2xy+y²; its middle term has a minus sign, not a plus sign. Option D has area (x+y)(x−y)=x²−y², so its xy terms cancel and it does not match the given expression. Memory cue: x² plus y² with a positive 2xy middle term is the perfect-square pattern (x+y)².