An artist is making a mosaic mural using large, trapezoid-shaped tiles. If each square on the grid represents 1 inch, compose a rectangle to find the area of each tile.
A trapezoid-shaped tile can be divided into two smaller rectangles. Using the grid as a reference, a trapezoid tile can be represented as follows:
```
_____________
| / /|
|___/ /____|
```
Using the grid to measure, let's assume the base of the trapezoid is 6 inches and the height is 4 inches. The two smaller rectangles can be calculated as follows:
Rectangle 1 (larger base):
Length = 6 inches
Width = 4 inches
Rectangle 2 (smaller base):
Length = 4 inches
Width = 4 inches
Now, calculate the area of each rectangle:
Rectangle 1:
Area = Length x Width
Area = 6 inches x 4 inches
Area = 24 square inches
Rectangle 2:
Area = Length x Width
Area = 4 inches x 4 inches
Area = 16 square inches
Therefore, each trapezoid-shaped tile has an area of 24 square inches.