Answer:
Base = 18
Height = 9
x = 7
Step-by-step explanation:
[tex]A = \frac{1}{2}\cdot b.h \\\\\ \frac{(x + 2)(2x + 4)}{2} = 81 \\\ \frac{2x^2 + 4x + 4x + 8}{2} = 81 \\\\\ 2x^2 + 8x + 8 = 162 \\\ 2x^2 + 8x - 154 = 0 \\\ \Delta = (8)^2 - 4.2.(- 154) \\\ \Delta = 1296 \\\ x = \frac{- 8 + 36}{4} \\\\\ x = \frac{28}{4} \\\\\ x = 7[/tex]
Base = 2 × 7 + 4 = 18
Height = 7 + 2 = 9
I hope I helped you.
