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.

Given that Mr.Jone's garden is rectangular in shape, we will begin by solving for the perimeter, this value will describe the entire length of the fencing materials needed.

The expression for the cost is given as

Cost = 18x+8

Given data

Length = 2x + 3 feet

Width = x feet

Cost per foot = $3

Since the shape of the garden is rectangular

The Perimeter of the garden will be

Perimeter = 2(Length)+ 2(Width)

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

Perimeter = 4x+6+ 2x

Perimeter = 6x+6 feet

This means that the total length of the garden is 6x+6 feet

Let us find the cost

Cost for the fencing material for  6x+6 feet = 3( 6x+6)

Cost = 18x+8

Learn more about rectangular shape here:

link

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

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step-by-step explanation:

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