The following sequence of shapes composed of squares produces a shape called a Box Fractal if continued indefinitely. Each square is subdivided into 9 sub-squares, and the center sub-square along each side is removed. Notice how a portion of the shape at one stage is similar to a portion of the shape at another stage. Stage 1 Stage 2 Stage 3 Stage 1 Suppose the big square in Stage 1 has sides of length 9. Find the total perimeter and area of the shaded figure in each stage. Then determine what the perimeter and area of the next figure (Stage 4) would be. Stage 2 Stage 3 Stage 4 (not shown) H Perimeter H Area

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