Question

Use the area model to factor 8f+30g.

First, find the terms of the factors. The factor on the left must be a whole number greater than 1, and all coefficients must be integers.
8f 30g
Row, rectangle. Width. Height. Find the total area.. Areacolumn, missing side length.123
Now, write 8f+30g in factored form.

Answer 1

2(4f+15g).

Explanation:

To factor 8f+30g using the area model, we need to find two terms that can be multiplied together to give us the original expression. Let's create a rectangular area model to represent 8f+30g: ``` 8f 30g ----------------- | | | | | | | | | ----------------- ``` We want to find the dimensions of this rectangle so that the total area is 8f+30g. To find the dimensions, we need to look for common factors between 8 and 30. The largest common factor between 8 and 30 is 2. Now, we can divide both 8f and 30g by 2: ``` 4f 15g ----------------- | | | | | | | | | ----------------- ``` So, we have factored 8f+30g as 2(4f+15g).