To find the area of the rectangular mural, we need to determine the dimensions of the mural first.
The shorter side of the mural is given as 5 yards.
The longer side is described as being 3 yards longer than the shorter side. So we can calculate the longer side like this:
\[ \text{Longer side} = \text{Shorter side} + 3 \text{ yards} = 5 \text{ yards} + 3 \text{ yards} = 8 \text{ yards} \]
Now that we have both dimensions (5 yards and 8 yards), we can calculate the area of the mural using the formula for the area of a rectangle:
\[ \text{Area} = \text{Length} \times \text{Width} \]
Substituting in our values:
\[ \text{Area} = 5 \text{ yards} \times 8 \text{ yards} = 40 \text{ square yards} \]
Thus, the area of the mural is \( \boxed{40} \) square yards.