Question

Helppppppp pleaseeeeee

The area, A, in square yards, of a rectangular garden, is given by the function a(x)=-2x^2+30x , where x is the width, in yards, of the land. What are the zeros, and what do they represent?

Answer 1

Explanation:

The area, A, in square yards, of a rectangular garden, is given by the function.

`A(x)=-2x^2+30x`

We know that, the area of the rectangle is given by :

`A=l* b`

Where l is length and b is breadth

`A=-2x^2+30x\\\\A=2x* (-x+15)`

Length = 2x

Breadth = (15-x)

For zeoes,

`2x* (-x+15)=0\\\\x=15`

Length = 15 yards

Breadth = (15-15) = 0 yards

Hence, this is the required solution.