3. Mr. Jones is going to build a garden in back of the restaurant to have

fresh produce available. The garden will be rectangular, with a length of

2x + 3 feet and a width of x feet.

Part A

Fencing material costs $3 per foot including delivery. Write an expression

to show the amount of fencing that Mr. Jones will need and then write an

expression for the cost of the fence.

Answer: The amount of fencing needed can be expressed as 6x + 6 ft and, the cost of fencing can be expressed as Cost = 18x + 18

Step-by-step explanation: The dimensions of the rectangular garden are given as

Length = 2x + 3

Width = x

The amount of fencing that he would need is simply the total measurement all around the rectangular garden, that is, the perimeter. The perimeter of a rectangle is given as follows;

Perimeter = 2 (L + W)

With the dimensions already provided we can now substitute for the values

Perimeter = 2 (2x + 3 + x)

Perimeter = 2 (3x + 3)

Perimeter = 6x + 6

Therefore the amount of fencing needed can be written out as,

6x + 6 ft

If however, fencing costs $3 per foot, then the cost of the entire fencing can be expressed as

Cost = 3 (6x + 6)

Cost = 18x + 18

The amount of fencing is 6x + 6

And the cost = 18x + 18

Step-by-step explanation:

Here, we were provided with the dimensions of the rectangular garden.

They are:

Length = 2x + 3

Width = x

The amount of fencing that he would be needed is the total measurement all around the rectangular garden, and in this case, the perimeter. We all know tat the perimeter of a rectangle is

Perimeter = (L + W) * 2

With the parameters already outlined, we can now substitute for the values

Perimeter = (2x + 3 + x) * 2

= (3x + 3) * 2

= 6x + 6

So therefore, the amount of fencing needed can be written out as,

6x + 6 ft

If the fencing costs $3 per foot, then the cost of the entire fencing can be expressed as

C = 3 (6x + 6) c here means the cost

C = 18x + 18