4 which model represents 12 × 12 = 144? a 10 2 2 b 12 12 c 10 2 10 2 d 10 2 10 2

Explanation:

Step1: Analyze the multiplication 12×12

We can think of 12 as 10 + 2. Then 12×12=(10 + 2)×(10 + 2).

Step2: Check each option

Option A and C are just linear - like models and do not represent the area of a square which is what 12×12 implies. Option B is a square of side - length 12 but does not break 12 into 10 and 2 for a more detailed representation. Option D is a square with side - length 12 which is divided into parts where we can see (10 + 2)×(10 + 2) visually. The large square can be thought of as composed of a 10×10 square, two 10×2 rectangles and a 2×2 square, which is consistent with the expansion of (10 + 2)×(10 + 2)=10×10+2×(10×2)+2×2 = 100+40 + 4=144.

Answer:

D