To determine the division problem represented by the area model, we need to clarify what is meant by the area model. Typically, an area model for division involves dividing an area into equal parts, which often corresponds to a quotient and a remainder.
Given the information you provided, it looks like you are trying to express a division problem with 45 as the divisor and a remainder R. We can infer that your division problem must be set up as follows:
\[ \text{Total Area} \div 45 = \text{Quotient} \quad \text{with a remainder} , R \]
This means that you have a total area (let's denote it as \( A \)) that you are dividing by 45. In order to write the complete equation, we can set it up like this:
\[ A = 45 \times \text{Quotient} + R \]
If you need to fill in specific boxes, you can select a total area \( A \) and then say:
- Total Area (A): This would be a specific number.
- Quotient: The result of \( A \div 45 \) disregarding the remainder.
- R: The leftover part after calculating the quotient.
For example, if \( A = 100 \):
- \( Quotient = 100 \div 45 = 2 \) (because 45 fits into 100 two times)
- \( R = 100 - (45 \times 2) = 10 \)
So the division problem could be expressed as: \[ 100 \div 45 = 2 \quad R = 10 \]
Feel free to provide a specific area if you have one in mind!