Question

area model for 29 times 34

Answer 1

To create the area model for 29 times 34, we will make a rectangle with sides that represent the two numbers being multiplied.

First, draw a rectangle and label the sides with the two numbers.

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The first number, 29, will be represented by the length of the rectangle, and the second number, 34, will be represented by the width of the rectangle.

Next, divide the length of the rectangle (29) into tens and ones.

29 can be decomposed into 20 + 9.

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| 20 9 |
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Now, divide the width of the rectangle (34) into tens and ones.

34 can be decomposed into 30 + 4.

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| 20 10 9 |
| 30 4 |
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Finally, find the area of each section by multiplying the tens and ones in each section.

The left section represents 20 times 30, which is 600.
The middle section represents 10 times 30, which is 300.
The right section represents 9 times 30, which is 270.
The bottom section represents 20 times 4, which is 80.
The top section represents 9 times 4, which is 36.

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| 20 10 9 |
| 30 4 |
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The total area of the rectangle is found by adding the products of each section: 600 + 300 + 270 + 80 + 36 = 1286.

Therefore, the area model for 29 times 34 is:

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| 20 10 9 |
| 30 4 |
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Total Area: 1286