The area of the mosaic tile design is 60
.
The design consists of one square and four parallelograms. The area of the square is 4 cm * 4 cm = 9
.
The area of a parallelogram is base * height. The base of each parallelogram in the design is 9 cm and the height is 3 cm, so the area of each parallelogram is 9 cm * 3 cm = 27
.
Therefore, the total area of the design is:
16
+ 27
+ 27
+ 27
+ 27
= 60
.