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1,600 feet of fencing is used to enclose a square plot.
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19 Oct 2017, 14:49
19 Oct 2017, 14:49
Expert Reply
00:00
Question Stats:
76% (01:14) correct
23% (01:05) wrong based on 158 sessions
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1,600 feet of fencing is used to enclose a square plot.
Quantity A |
Quantity B |
The plot's new area if the length were reduced by 4 feet and the width increased by 4 feet |
The plot's new area if the length were equal to 398 feet and the width were equal to 402 feet |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: 1,600 feet of fencing is used to enclose a square plot.
[#permalink]
20 Oct 2017, 06:45
20 Oct 2017, 06:45
1
Since the plot is a square, its side is equal to \(sqrt(1600) = 40\). Then quantity A is 36*44 = 1584. Quantity B, instead is 402*398 = 159,996.
Answer B
Answer B
Re: 1,600 feet of fencing is used to enclose a square plot.
[#permalink]
04 Mar 2018, 06:42
04 Mar 2018, 06:42
3
As per the question,
1600ft = perimeter of a square plot => length of each side = 1600/4 = 400ft
So,
Quantity A = (len-4)(len+4) = (400-4)(400+4) = 400^2 - 4^2
Quantity B = 398x402 = (400-2)(400+2) = 400^2 - 2^2
=> Quantity B > Quantity A
Hence answer is B.
1600ft = perimeter of a square plot => length of each side = 1600/4 = 400ft
So,
Quantity A = (len-4)(len+4) = (400-4)(400+4) = 400^2 - 4^2
Quantity B = 398x402 = (400-2)(400+2) = 400^2 - 2^2
=> Quantity B > Quantity A
Hence answer is B.
