Question

Use the model to find 3×46.

First, find the area of each rectangle.
40 6
3
Row, rectangle. Width. Height. Find the total area.. Areacolumn, missing side length.123
Then, find the total area.
3×46 =

Answer 1

To multiply 3 by 46 using the area model, create rectangles with areas representing the tens and units then add them together. The total of 120 for the tens and 18 for the units gives us 3×46 = 138.

Step-by-step explanation:

To find 3×46 using the area model, you need to construct two rectangles, representing the tens and the units of the number 46. The first rectangle has a width of 40 (corresponding to the tens) and a height of 3, giving us an area of 120. The second rectangle has a width of 6 (corresponding to the units) and a height of 3, giving us an area of 18. After calculating the areas of both rectangles, you combine them to find the total area, which represents the product of 3 and 46.

The total area is the sum of the areas of both rectangles:

• Area of first rectangle (40×3) = 120
• Area of second rectangle (6×3) = 18

The total area, or the product, is 120 + 18, which equals 138. Therefore, 3×46 = 138.