Dimensions of the garden (without path)

Width of the garden:** x **

Length of the garden: **x + 5**

**For the Equation:**

**Width** of garden including path : x + (2+2) ⇒ **x + 4 **meters

**Length** of garden including path: x + 5 + (2+2) ⇒ **x + 9** meters

Area including path: **300** meters²

**Equation:**

(L) (W) = 300

(x+9) (x+4) = 300

x² + 13x + 36 = 300

x² + 13x + 36 - 300 = 0

x² + 13x - 264 = 0

FActor:

(x - 11) (x + 24) = 0

x - 11 = 0 x + 24 = 0

x = 11 x = -24

Dimensions of garden (without path):

**Width**: x ⇒ **11 meters**

**Length**: x + 5 ⇒ 11 + 5 = **16 meters**

**ANSWER: The width of the garden (without path) is 11 meters.**