If the area of the vegetable garden is 170 square feet which equation could be used to find the length of the tomato patch? 1)0=3x^2+17x-160
2)0=3x^2+10x+180
3)0=3x^2-160
4)0=3x^2+2x+180

0=3x^2+17x-160

Step-by-step explanation:

Area = Width × Length

Width = x + 5

Length = 3x + 2

(x + 5) × (3x + 2)

use rainbow method

3x × x = 3x^2

3x × 5 = 15x

2 × x = 2x

2 × 5 = 10

3x^2 + 17x + 10 = 170

subtract 170 from both sides

3x^2 + 17x + 10 - 170 = 0

0 = 3x^2 + 17x - 160