The design for the palladium window shown includes a semicircular shape at the top. the bottom is formed by squares of equal size. a shade for the window will extend 4 inches beyond the perimeter of the window, shown by the dashed line around the window. each square in the window has an area of 100 i n 2 . what is the area of the shade? round your answer to the nearest whole number.

Step-by-step explanation:

The complete problem is attached.

The area of the window is separated in two parts, the semicircle and the square.

We know that each square has an area of 100 square inches, which means that the whole big square has an area of 1600 square inches, because there are 16 total squares.

Also, each side of each small square is long, which is 10 inches. This means the diameter of the semicircle is 40 inches, and its area is

Therefore, the area of the whole window is

Now, the shade is 4 inches beyond the perimeter, that means each side the new rectangle is

Similarly, the radius of the new semicircle is

Then, we just have to find the new combined area.

So, the total area of the shade is

Therefore, the total area is 3016 square inches, approximately.