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babunello [35]
3 years ago
6

Drag each tile to the correct box. not all tiles will be used.Chris plans to mulch the border surrounding a rectangular garden i

n his backyard. If the length, l, of the garden (excluding its border) is 3 more than twice its width, w, and the width of the border is 1/4 w, which function represents the area, a, to be mulched in terms of w?
Mathematics
1 answer:
amm18123 years ago
5 0

Length (L): 2w + 3

width (w): w

border (b): \frac{1}{4} w

Area (A) = (L + b) * (w + b)   <em>NOTE: This is assuming the width also has a border</em>

              = (2w + 3 + \frac{1}{4} w) * (w + \frac{1}{4} w)

              = (2\frac{1}{4} w + 3)(1\frac{1}{4} w)

              = (\frac{9}{4} w + 3)(\frac{5}{4} w)

              = \frac{45}{16} w^2 + \frac{15}{4}w


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