Let the length of the base be x.
Height = 3x
Area = 27
[tex] \frac{1}{2} bh [/tex] = 27
[tex] \frac{1}{2} * x * 3x[/tex] = 27
[tex] x^{2} [/tex] = 18
x = [tex] \sqrt{18} [/tex] = 4.24264068712 ≈ 4.24
Hence,
The length of the base is 4.24 ft.
Height = 3x = 3 * 4.24264068712 = 12.7279220614 ≈ 12.72
Hence,
The height is 12.72 ft