Question

I need help solving this

Answer 1

Base = 18

Height = 9

x = 7

Explanation:

`A = (1)/(2)\cdot b.h \\\\\ ((x + 2)(2x + 4))/(2) = 81 \\\ (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 = (- 8 + 36)/(4) \\\\\ x = (28)/(4) \\\\\ x = 7`

Base = 2 × 7 + 4 = 18

Height = 7 + 2 = 9

I hope I helped you.