Question

what is the area of the entire grid?
answer
25
2 numeric 10 points
next, take the darkly shaded cells from the top of the grid and place them on the side of the grid as shown.
find the total area of the new 4 × 6 grid that you have created.
answer
24
3 essay 10 points
compare your answers for problems 1 and 2. what do you notice about the difference in the areas of the grids? can you write a number sentence that represents this situation?

Explanation:

For problem 1, the area of the original grid (assuming it's a \(5\times5\) grid) is calculated as \(5\times5 = 25\). For problem 2, the area of the new \(4\times6\) grid is \(4\times6=24\). The difference in areas is \(25 - 24=1\). A number sentence representing this situation is \(5\times5-4\times6 = 1\).

Answer:

The area of the original grid is \(25\), the area of the new grid is \(24\). The difference in areas is \(1\), and the number sentence is \(5\times5 - 4\times6=1\).