The figure is attached below.
All the shaded squares are the same size and all th shaded triangles are the same size.
First we find the Area of shaded square
Side of shaded square = 3 in
Area of shaded square = side * side = 3 * 3 = 9 square inches
There are 5 shaded square so we multiply the area by 5
Total area of shaded square = 9 * 5 = 45 square inches
Next First we find the Area of shaded triangle
Base of shaded triangle = 6 in
Height of shaded triangle = 6 in
Area of shaded triangle = [tex] \frac{1}{2} * base * height = \frac{1}{2} * 6 * 6 = 18 [/tex] square inches
There are 4 shaded triangles so we multiply the area by 4
Total area of shaded triangle = 18 * 4= 72 square inches
total area of all the shaded pieces of the quilt block = area of shaded triangle + area of shaded square
Total area = 45 + 72 = 117 square inches
