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):
`(1)/(4) w`

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

= (2w + 3 +
`(1)/(4) w`) * (w +
`(1)/(4) w`)

=
`(2(1)/(4) w + 3)`
`(1(1)/(4) w)`

=
`((9)/(4) w + 3)`
`((5)/(4) w)`

=
`(45)/(16) w^2 + (15)/(4)w`