Solve the equation -8(n + 7) = -88. What are two ways to start solving this equation? Choose BOTH ways. 1) Subtract 7 from both sides.
2) Use the distributive property.
3) Add 8 to both sides.
4) Add 88 to both sides.
5) Divide both sides by -8.

Divide each side by -8

Distribute

Step-by-step explanation:

-8(n + 7) = -88.

Method 1

Divide each side by -8

n+7 = 11

Subtract 7 from each side

n = 4

Method 2

Distribute

-8n-56= -88

Add 56 to each side

-8n = -32

Divide by -8

n=4

The length of 175 meters and width of 87.5 meters will maximize the area.

15312.5 square meters.

Step-by-step explanation:  

Please find the attachment.

We have been given that Farmer Ed has 350 meters of fencing and wants to enclose a rectangle mat plot that borders on a river. Farmer Ed does not fence the side along the river.  

First of all we will make a relevant graph to represent the perimeter of fencing for 3 sides as shown in the attachment.

Since Ed will not fence the side along the river, so fencing is needed for 3 sides and perimeter of the fencing would be .

Now we will equate perimeter with 350 as:

We know that area of the rectangle is width times length.

Upon substituting the value of y in area equation, we will get:

Now we will find derivative of area function as:

Now we will equate derivative with 0 and solve for x as:

Upon substituting in equation , we will get:

Therefore, the length of 175 meters and width of 87.5 meters will maximize the area.

Upon substituting in area function, we will get:

Therefore, the largest possible area enclosed would be 15312.5 square meters.