In the rectangle model of (p+2)(p+5), what is the area of the small corner rectangle?

Correct answer: 10

Direct answer: Option B, 10. In the rectangle model, split one side into p and 2 and the other side into p and 5. This creates four smaller rectangles. Their areas are p·p=p², p·5=5p, 2·p=2p, and the corner region 2·5=10. The corner rectangle uses the two constant side lengths, 2 and 5, so its area is 10. Option A is the area of the rectangle with sides 2 and p. Option C is the area of the rectangle with sides p and 5. Option D is not a product of the two corner lengths and does not correspond to any region in this model. Memory cue: the corner formed by the constant pieces is found by multiplying constants, 2×5.