a rectangular flower garden, 7m x 6m is surrounded by a grass strip of uniform width.?
of uniform width. if the total area garden and the grass runway is 90m ^ 2, what is the bandwidth? Include a diagram if possible
Area garden flower 7 x 6m = 42sm area Total of two = 90sm zone grass = 48sm if 'w' is the bandwidth, then the field may be written in terms of length and width around the garden flowers: each long side, 2: (w + 7 + w) xw (with the W 7 is for the corners), shorter on each side, 2: 6 XW (do not count the corners new) grass = 2 x (7W + 2W ^ 2 + 6w) = 48sm 4w ^ 2 + 26w = 48 into quadratic 4W ^ 2 + 26w – 48 = 0 W = (-26 + / – sqroot (26 ^ 2-4×4x-48)) / W 2×4 = (-26 + / – sqroot (676 768) / 8 W = (-26 + / – 38) / 8, ie w = (-64 / 
=- 8M (negative solution) or w = (12 / = 1.5m good solution to the problem of scale
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