Question

I need help solving this

Answer 1

Answer:

Base = 18

Height = 9

x = 7

Step-by-step explanation:

$A = \frac{1}{2}\cdot b.h \\\\\ \frac{(x + 2)(2x + 4)}{2} = 81 \\\ \frac{2x^2 + 4x + 4x + 8}{2} = 81 \\\\\ 2x^2 + 8x + 8 = 162 \\\ 2x^2 + 8x - 154 = 0 \\\ \Delta = (8)^2 - 4.2.(- 154) \\\ \Delta = 1296 \\\ x = \frac{- 8 + 36}{4} \\\\\ x = \frac{28}{4} \\\\\ x = 7$

Base = 2 × 7 + 4 = 18

Height = 7 + 2 = 9

I hope I helped you.