Question

Gabe used 186 feet of fencing to enclose a rectangular garden and to put a divider between the two halves of the garden- the vegetable side and the herb side. The width of the garden is 19 feet less than its total length. Figure out the dimensions of the entire garden and then find the area of each half of the garden. Show all work

Answer 1

Width = 29.6 feet

Length = 48.6 feet

Area =719.28 square feet

Explanation:

Let width = x feet.

The width of the garden is 19 feet less than its total length, then length = x + 19 feet

Total fencing = 3 widths + 2 lengths

= 3x + 2(x + 19)

= 3x + 2x + 38

= 5x + 38

Total fencing = 186 feet, so

`5x+38=186\\ \\5x+38-38=186-38\\ \\5x=148\\ \\x=29.6\ feet\\ \\y=29.6+19=48.6 \ feet`

Total area

`29.6* 48.6=1,438.56\ ft^2`

Half the area

`1,438.56\ ft^2 :2=719.28\ ft^2`