Show how to use an area model to multiply 71×48

3408

Step-by-step explanation:

Here how you use an area model to get the answer.

Separate the long sides into (70+1) segments and the short sides into (40+8) segments. Draw lines to connect the points on opposite sides. You will get four smaller rectangles with sides 70×40, 70×8, 40×1, and 8×1. Multiply to find the areas of each small rectangle and write the products (2800, 560, 40, and 8) inside the corresponding rectangle. Add the areas of the small rectangles to get the area of the large rectangle.

  2800

+   560

+     40

+       8

3408

71 × 48 = 3408