A farmer is building a fence to enclose a rectangular area against an existing wall, three of the sides will require fencing and the fourth wall area day exists. If the farmer has 100 feet of fencing, what is the largest area the farmer can enclose

1250 square feet

Step-by-step explanation:

Let the dimensions of the wall be x and y

Since only three of the sides will require fencing

Perimeter=2x+y (where y is the side opposite the wall)

The farmer has 100 feet of fencing

Therefore: Perimeter=100 feet

2x+y=100

y=100-2x

Area of the enclosure, A(x,y)=xy

Substituting y=100-2x into A(x,y)

Area, A(x)=x(100-2x)

To determine the largest area the farmer can enclose, we maximize A(x) by finding its derivative and solving for its critical point.

Set A'(x)=0

100-4x=0

4x=100

x=25 feet

Recall: y=100-2x

y=100-2(25)=50 feet

Therefore, the largest area the farmer can enclose is that of an enclosure which has dimensions 25ft X 50ft.

Maximum Area=1250 square feet

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm

segment bisector

step-by-step explanation:

line segment bisector. definition: a line, ray or segment which cuts another line segment into two equal parts. try this drag one of the orange dots at a or b and note the the line ab always divides the line pq into two equal parts.

mark brainliest!