Question

hii i'm stuck on this question

Answer 1

Answer:

0. The neighbor's fencing project that will take the least amount of time to complete is ,Neighbor B.

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1. The neighbor's fencing project that will take the most amount of time to complete is, Neighbor C.

Explanation

Data given of Neighbor A

• Rectangular backyard.

• Can put up three 8-foot sections of wood fencing in two hours.

Data given of Neighbor B

• Circular fence.

,

• Can put up 15 ft of chain link fence per hour.

Data given of Neighbor C

• Fence around the three sides of his front yard.

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• Can put up 1 yard of vinyl fencing in half an hour.

Procedure

We have to get the perimeter of the figures to evaluate how much time it will take to cover each fence.

• Neighbor A

Assuming that the fence will not cover the limit between the house and the backyard, then we can add the measures given per side:

$5+8+25+8=46ft$

As we are told that neighbor A can put up three 8-foot sections of wood fencing in two hours, neighbor A will take 5.75h in building the whole fence:

$46ft\times\frac{2h}{8ft}=11.5h$

• Neighbor B

In this case, we have to add the diameter of the pool to the space between the pool and the fence, as it will be the diameter of the fence (df):

$d_f=30+5=35ft$

Then, the perimeter is:

$\pi d=\pi(35)$$=35\pi ft$

Calculating the time it will take:

$35\pi ft\times\frac{1h}{15ft}\approx7.33h$

• Neighbor C

Finally, the perimeter that will cover the fence for neighbor C is:

$16+58+16=90ft$

Calculating the time it will take:

$90ft\times\frac{0.5h}{1ft}=45h$

Then:

• Neighbor A will take 11.5h.

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• Neighbor B will take 7.33h

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• Neighbor C will take 45h.