Area of a Rectangular prism is 48ft2 and it's width is x ft and it's length is 3 ft more than the width. Find the height of the rectangular prism.

h = (24 - 3x - x²) / (2x + 3)

Step-by-step explanation:

Surface area:

2 (x * (x + 3)) + 2 (x) h + 2 (x + 3) h

2 (x² + 3x) + 2xh + 2 (x + 3) h = 48

x² + 3x + xh + xh + 3h = 24

h (2x + 3) = 24 - x² - 3x

h = (24 - 3x - x²) / (2x + 3)