The dimensions of the border is 1.5 feet for the garden
A rectangle is a quadrilateral with four sides and four angles in which opposite sides are equal and parallel.
The area of a rectangle = Length * breadth
Given that length of garden = 16 ft., width of garden = 12 ft.
It is surrounded by a mulch of width x, hence:
New length = 16 + x + x = 16 + 2x
New width = 12 + x + x = 12 + 2x
The area of garden = 16 + 2x(12 + 2x) = 192 + 56x + 4x²
Since the maximum area is 285 ft, hence:
192 + 56x + 4x² = 285
4x² + 56x - 93 = 0
x = 1.5 feet
The dimensions of the border is 1.5 feet
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