Step-by-step explanation:
The area, A, in square yards, of a rectangular garden, is given by the function.
[tex]A(x)=-2x^2+30x[/tex]
We know that, the area of the rectangle is given by :
[tex]A=l\times b[/tex]
Where l is length and b is breadth
[tex]A=-2x^2+30x\\\\A=2x\times (-x+15)[/tex]
Length = 2x
Breadth = (15-x)
For zeoes,
[tex]2x\times (-x+15)=0\\\\x=15[/tex]
Length = 15 yards
Breadth = (15-15) = 0 yards
Hence, this is the required solution.
