Question

what is the area of the entire grid?
answer
36
5 numeric 10 points
next, take the 5 darkly shaded cells from the top of the grid and place them on the side of the grid as shown.
now find the total area of the new 5×7 grid that you have created.
answer
35
6 essay 10 points
compare your answers for problems 4 and 5. what do you notice about the differences in the areas of the grids? can you write a number sentence that represents this situation?

Explanation:

Step1: Analyze the area change

The original area is 36. After moving 5 cells, the new area is 35. The difference is calculated by subtracting the new area from the original area.
$$36 - 35$$

Step2: Calculate the difference

$$36-35 = 1$$

Answer:

The area of the original grid is 36, and the area of the new grid is 35. The difference in their areas is 1. The number sentence representing this situation is \(36 - 35=1\).