To find the area of a rhombus when the lengths of its diagonals are known, you can use the formula:
\[ \text{Area} = \frac{d_1 \times d_2}{2} \]
where \( d_1 \) and \( d_2 \) are the lengths of the diagonals.
In this case, the diagonals are given as:
- \( d_1 = 1.4 \) yards
- \( d_2 = 0.8 \) yards
Now, plug in the values into the formula:
\[ \text{Area} = \frac{1.4 \times 0.8}{2} \]
Calculating \( 1.4 \times 0.8 \):
\[ 1.4 \times 0.8 = 1.12 \]
Now, divide by 2:
\[ \text{Area} = \frac{1.12}{2} = 0.56 \text{ square yards} \]
To convert square yards to square inches, remember that \(1 \text{ yard} = 36 \text{ inches}\). Therefore, \(1 \text{ square yard} = 36^2 \text{ square inches} = 1296 \text{ square inches}\).
Now convert the area to square inches:
\[ 0.56 \text{ square yards} \times 1296 \text{ square inches/square yard} = 726.72 \text{ square inches} \]
Thus, the area of the front view of the piece of art is approximately \(726.72\) square inches.