How many smaller rectangles are there in an area model that represents \(27 \times 83\)? Why? What are their dimensions?

The question is asking to state how many smaller rectangles are there in an area model that represents 27 time 83, base on my research and calculation, the answer is 4 having the dimensions of 20 by 80, 20 by 3, 7 by 80, 7 by 3. I hope you are satisfied with my answer and feel free to ask for more

Answered by meerkat18 | 2024-06-10

Answer ;
4 small rectangles
That is; 20 by 80, 20 by 3, 7 by 80, and 7 by 3.
Explanation;
We have; 27 by 83
We can decompose 27 into 10s and 1s to get; 20 + 7 , and
also decompose, 83 into 10s and 1s to get; 80 + 3;
But we know area is given by length times width, thus;
we have rectangles; 20 × 80, 20 × 3, 7 × 80 and 7 × 3
-The total area will be given by the sum of the area of the four triangles that is equivalent to 83 × 27.

Answered by jamuuj | 2024-06-24

In an area model for 27 × 83 , there are 4 smaller rectangles. Their dimensions are 20 × 80 , 20 × 3 , 7 × 80 , and 7 × 3 . These represent the combination of tens and units from both numbers.
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Answered by jamuuj | 2024-09-26