Find the area of the parallelogram by finding the height of the 45 45 90 triangle

45 in²

Step-by-step explanation:

Since it's a 45-45-90 triangle, the legs are equal length.  The legs are the sides that are not the hypotenuse.  The hypotenuse is the side opposite the 90° angle.  Here, the legs are both 6.  This is also the height of the parallelogram.  

The formula for area of a parallelogram is

A = LH    where L is the side length, and H is the height

So the area is

A = 7.5(6) = 45 in²