Question

now, start with a 6 × 6 grid as pictured below.
what is the area of the entire grid?
answer
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

Explanation:

Step1: Calculate the area of the \(6\times6\) grid

The formula for the area of a rectangle (a square is a special case of a rectangle) is \(A = length\times width\). For a \(6\times6\) grid, \(A_1=6\times6\).

$$A_1 = 36$$

Step2: Calculate the area of the \(5\times7\) grid

Using the same area formula \(A = length\times width\), for a \(5\times7\) grid, \(A_2 = 5\times7\).

$$A_2=35$$

Answer:

For the \(6\times6\) grid: \(36\); for the \(5\times7\) grid: \(35\)