Question

question
enter the missing values in the area model to find $10(8w + 10)$
answer attempt 1 out of 2
according to the model above, $10(8w + 10) = \square$

Explanation:

Step1: Find top missing value

The left box's area is $8w$, height is 10. The top value is $\frac{8w}{10} \times 10 = 8w$ (matches the term in the expression)

Step2: Calculate right box area

Multiply height 10 by top value 10.
$10 \times 10 = 100$

Step3: Sum the two box areas

Add the areas of the two rectangles.
$8w \times 10 + 10 \times 10 = 80w + 100$

Answer:

Missing top value: $8w$, missing box value: $100$
$10(8w + 10) = 80w + 100$