The area of the triangle in the image is 5 square inches.
The area of a triangle is given by the formula:

where b is the base of the triangle and h is the height.
We are given that the base of the triangle is 3 inches greater than the height, so we can write:

We are also given that the length of the base of the triangle is 5 inches. We can substitute this value into the equation above to solve for the height:

Now that we know the height of the triangle is 2 inches, we can find the area of the triangle using the formula above:

Therefore, the area of the triangle is 5 square inches.