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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]
04 Mar 2018, 06:42

2

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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.

greprepclubot

Re: 1,600 feet of fencing is used to enclose a square plot.
[#permalink]
04 Mar 2018, 06:42