Question

Drag each tile to the correct box. not all tiles will be used.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 1/4 w, which function represents the area, a, to be mulched in terms of w?

Answer 1

Length (L): 2w + 3

width (w): w

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

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

              = (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)$

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