Show how to use an area model to multiply 71×48
2 answers:
Answer:
3408
Step-by-step explanation:
Here how you use an <em>area model</em> 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
+ <u> 8 </u>
3408
71 × 48 = 3408
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