Three neighbors plan to complete fencing projects this spring. as shown in the diagrams below, neighbor a plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. neighbor b plans to construct a circular chain link fence around his pool. and, neighbor c is putting a vinyl fence around three side of his front yard. note: diagrams are not drawn to scale. intended fences are marked with a dashed line.

wood fencing is sold in 8 foot sections for $111.50. chain link fencing costs $9.75 per linear foot (in whole foot lengths). and, vinyl fencing can be purchased for $53.55 per linear yard (in whole yard lengths).

which neighbor's fencing project will cost the most?
which neighbor's fencing project will cost the least?

- The neighbor's fencing project that will cost the most is: Neighbor A.

- The neighbor's fencing project that will cost the least is: Neighbor B.

Step-by-step explanation:

To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:

Convert yards to feet (Remember that :

You know that wood fencing is sold in 8 foot sections for $111.50, then, the number of sections for this fence will be:

≈18

Then,  the cost for this fencing project will be:

 To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:

Where r is the radius.

In this case, the radius is:

Substituting, you get:

≈126 feet

You know that the Chain link fencing costs $9.75 per linear foot, then, the cost for this fencing project will be:

To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:

Convert from feet to yards (Remember that :

You know that the vinyl fencing can be purchased for $53.55 per linear yard , then, the cost for this fencing project will be:

Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.

The neighbor's fencing project that will cost the least is: Neighbor B.

a negative exponent is translated as follows:

so, we have

(-1,-0.5)

step-by-step explanation: