Shenelle has

1

0

0

100 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width

w

w (in meters) is modeled by:

A

(

w

)

=

-

(

w

-

2

5

)

+

6

2

5

A (w) = - (w-25)

2

+625

What side width will produce the maximum garden area?

Question

Mathematics

Hannah Lin

7 January, 13:04

Shenelle has

1

0

0

100 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width

w

w (in meters) is modeled by:

A

(

w

)

=

-

(

w

-

2

5

)

+

6

2

5

A (w) = - (w-25)

2

+625

What side width will produce the maximum garden area?

+2

Answers (1)

Know the Answer?

Jada Johnson · Answer 1

w = 25

Step-by-step explanation:

The function A (w) = - (w-25) ² + 625 is in vertex form. The vertex (maximum) is at (w, A) = (25, 625). A width of 25 meters will maximize the area.

Shenelle has100100 meters of fencing to build a rectangular garden.The garden's area (in square meters) as a function of the garden's widthww (in meters) is modeled by:A(w)=-(w-25)+625A (w) = - (w-25)2+625What side width will produce the maximum garden area?