# The length of a rectangular garden is 5 more than its width and is surrounded by a uniform path 2m wide if the total area of garden plus path is 300 square meters find the width of the garden

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by maya4

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by maya4

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Width of the garden:

Length of the garden:

Area including path:

(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):