Question

Creative landscaping has 60 yards of fencing with which to enclose a rectangular flower garden. If the garden is X yards long, express the Gardens area as a function of length

Answer 1

`\texttt{Area = Length x Width}\\\\\texttt{Area =}x* (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2`

Area, A(x) = 30x - x² , as a function of the length (x).

Explanation:

Creative Landscaping has 60 yard of fencing with which to enclose a rectangular garden.

If the garden is X yards long, express the Gardens area as a function of length

Let x be the length of garden

So perimeter of rectangle = 60 yard

Perimeter = 2 * ( Length + width)

60 = 2 * ( x + width)

Width = 60/2 - x

Width= 30 - x

`\texttt{Area = Length x Width}\\\\\texttt{Area =}x* (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2`

Area, A(x) = 30x - x² , as a function of the length (x).