You want to fence in a rose bed that is adjacent to a deck. The length of your deck is 14 ft. You have at most 44 ft of fence. What are the possible widths of the rose bed?

Answer 1

Let's consider the width of the rose bed as x feet.

The perimeter of the rose bed can be calculated as the sum of the length of the deck (14 ft) and twice the width of the rose bed (2x ft), which should be equal to or less than the total length of the fence available (44 ft).

Perimeter of the rose bed = Length of the deck + 2 * Width of the rose bed
Perimeter = 14 ft + 2x ft

Given that the total length of fence available is at most 44 ft, we can write the inequality:
14 ft + 2x ft ≤ 44 ft

Simplifying the inequality:
2x ft ≤ 44 ft - 14 ft
2x ft ≤ 30 ft
x ≤ 30 ft / 2
x ≤ 15 ft

Therefore, the possible widths of the rose bed should be less than or equal to 15 ft.