Answer:
[tex]\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2[/tex]
Step-by-step 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
[tex]\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2[/tex]