Question

HELP ASAP question 5!!!

Answer 1

Step-by-step explanation:

Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.

$\therefore \: 3x(2x - 7) + (3x + 4)x = 85 \\ \\ \therefore \: 6 {x}^{2} - 21x+ 3 {x}^{2} + 4x = 85 \\ \\ \therefore \: 6 {x}^{2} + 3 {x}^{2} - 21x + 4x - 85 = 0 \\ \\ \huge \red {\boxed {\therefore \: 9 {x}^{2} - 17x - 85 = 0}} \\ hence \: proved.$

Answer 2

Answer:

Step-by-step explanation:

(3x + 4)(x) + (2x - 7)(3x) = 85

3x² + 4x + 6x² - 21x = 85

9x² - 17x - 85 = 0