Answers

  • Brainly User
2016-07-15T08:23:14+08:00
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.
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