The area of the tile pattern can be solved by determining the areas of the individual components of the tile. The area of the parallelogram is equal to,
A = bh
where b is base and h is the length of the height. For this pattern,
Area of parallelogram = (14 inches)(10 inches) = 140 in²
Since, there are two parallelograms, the total area of two parallelograms are 280 in².
The area of the triangle is calculated through the equation,
Area = bh/2
Area = (28 in)(18 in - 10 in) / 2 = 112 in²
Adding the areas 392 in².