SOLUTION: I am not sure how to go about this word problem so can you please help me solve this problem. I am getting overwhelmed! John wants to fence a 150 square meters rectangular field

Question 373121: I am not sure how to go about this word problem so can you please help me solve this problem. I am getting overwhelmed!
John wants to fence a 150 square meters rectangular field. He wants the length and width to be natural numbers {1,2,3,...}. What field dimensions will require the least amount of fencing? Show work.
Thank you so much!
Jessica
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
John wants to fence a 150 square meters rectangular field. He wants the length and width to be natural numbers {1,2,3,...}. What field dimensions will require the least amount of fencing?
.
You could create a "table":
width length area perimeter
1 150 150 302
2 75 150 154
3 50 150 106
5 30 150 70
6 25 150 62
10 15 150 50
15 10 150 50
25 6 150 62
30 5 150 70
.
From the above, we see that the answer is a field that is:
10 feet by 15 feet

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