MP Use Tools Use an area model to represent the division equation and find the quotient.

To represent a division equation using an area model, we can break down the process into a few steps. Let's say we want to divide a number \( A \) by another number \( B \) (i.e., \( A \div B \)). ### Step 1: Set Up the Area Model 1. **Draw a Rectangle**: Start by drawing a rectangle that represents the total area, which corresponds to the dividend \( A \). 2. **Label the Rectangle**: Write the value of \( A \) inside the rectangle. ### Step 2: Divide the Rectangle 1. **Determine the Width**: The width of the rectangle will represent the divisor \( B \). 2. **Calculate the Height**: The height of the rectangle will represent the quotient, which we will find. ### Step 3: Calculate the Quotient 1. **Divide the Area**: To find the quotient, you can divide the total area \( A \) by the width \( B \). This can be represented mathematically as: \[ \text{Height} = \frac{A}{B} \] 2. **Label the Height**: Write the quotient (the result of the division) as the height of the rectangle. ### Example Let's say we want to divide \( 24 \) by \( 6 \). 1. **Draw a Rectangle**: Draw a rectangle and label it with the area \( 24 \). 2. **Width**: Set the width of the rectangle to \( 6 \). 3. **Calculate the Height**: \[ \text{Height} = \frac{24}{6} = 4 \] 4. **Label the Height**: Write \( 4 \) as the height of the rectangle. ### Conclusion The area model visually represents the division \( 24 \div 6 = 4 \). The rectangle shows that if you have an area of \( 24 \) and you divide it into sections of width \( 6 \), you will have \( 4 \) sections (or units) of height \( 4 \). This method can be applied to any division problem to help visualize the relationship between the dividend, divisor, and quotient.