Question

$5×12=(\\_\\_×\\_\\_)+(\\_\\_×\\_\\_)$
$\\_\\_+\\_\\_=\\_\\_$
(the chart is a grid with side length labels: 5 cm, 5 cm, 7 cm, 12 cm)

Explanation:

Step1: Split the rectangle

The 12 cm side splits into $5\ \text{cm} + 7\ \text{cm}$.

Step2: Rewrite area formula

The area of the large rectangle is the sum of the areas of the two smaller rectangles:
$$5 \times 12 = (5 \times 5) + (5 \times 7)$$

Step3: Calculate each term

Compute the products:
$5 \times 5 = 25$, $5 \times 7 = 35$

Step4: Sum the results

Add the two products:
$25 + 35 = 60$

Answer:

$5 \times 12 = (5 \times 5) + (5 \times 7) = 25 + 35 = 60$
The filled blanks are: 5, 5, 5, 7, 25, 35, 60