Please please help i really need this.. The length of a rectangular fenced enclosure is 12 feet more than the width

If farmer Dan has 100 feet of fencing, find the dimensions of the rectangle with the largest perimeter that can be created using 100 feet of fencing.

length = 31 ft

width = 19ft

largest perimeter = 100 ft

Step-by-step explanation:

Let’s say the variable is x, if you draw a rectangle, you’d lable the length as 12+x (because the length is 12 ft longer than the width) and you’d lable the width as x.

Then you’d multply both terms by 2 (and add them up):

2(12+x) + 2(x)

Once you distribute and add...

24 + 2x + 2x

24 + 4x

Then you’d set that equal to 100, since that’s the amount of fencing Dan has:

24 + 4x = 100

Subtract 24 on both sides:

4x = 76

Divide by 4 on both sides:

x = 19

Then you found the width, now to find the length, just add x to 12 (which equals to 31).

Add all the sides up and it equals to 100, which is the largest perimeter than can be created using 100 ft of fencing.

Hope this helped :)