Chris plans to mulch the border surrounding a rectangular garden in 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, which function represents the area, A, to be mulched in terms of w?

Question

Mathematics

Dustin Berger

21 December, 01:24

Chris plans to mulch the border surrounding a rectangular garden in 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, which function represents the area, A, to be mulched in terms of w?

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Leland Carr · Answer 1

Let x represent the width of the border

So th function represents the area, A, to e mulched is

The area to be mulched is the area of the big rectangle with the border minus the area of the original garden

A = (l + 2x) (w + 2x) - (lw)

A = (2w + 3a + 2x) (w + 2x) - (2w^2 + 3w)