Question

the area of a rectangular fountain is x^2+9x+20 square feet. a 5 foot walkway is built around the fountain. find the dimesions of the outside border of the walkway

Answer 1

`w = 1.75\,ft` and
`h = 0.75\,ft`

Explanation:

The dimensions of the rectangular fountain are derived by some algebraic handling:

`A = (x+5)\cdot (x+4)`

The length of the walkway is:

`2\cdot \left[(x+5) + (x + 4)] = 5\,ft`

`2\cdot x + 9 = 2.5`

`x = -3.25`

The dimensions of the walkway are:

`w = 1.75\,ft` and
`h = 0.75\,ft`.