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If x inches are cut from the length, l, of a rectangle and y inches ar
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21 Oct 2016, 02:08
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00:00
A
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C
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Difficulty:
45% (medium)
Question Stats:
67% (02:10) correct 33% (02:09) wrong based on 113 sessions
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If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?
A) xy B) lw – yx C) ly + wx – xy D) lx + wy – xy E) xy – lw – wy
Re: If x inches are cut from the length, l, of a rectangle and y inches ar
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21 Oct 2016, 05:57
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duahsolo wrote:
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?
A) xy B) lw – yx C) ly + wx – xy D) lx + wy – xy E) xy – lw – wy
Initial Area = l*w
Area after cutting rectangle = (l-x)*(w-y)
Area removed = Initial Area - Final Area = l*w - (l-x)*(w-y) = l*w - [l*w-x*w-l*y+x*y) = x*w+l*y-x*y
Answer: Option C
Alternatively You may assume values of l, w, x and y and check options
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Re: If x inches are cut from the length, l, of a rectangle and y inches ar
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20 Feb 2017, 07:32
duahsolo wrote:
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?
A) xy B) lw – yx C) ly + wx – xy D) lx + wy – xy E) xy – lw – wy
Re: If x inches are cut from the length, l, of a rectangle and y inches ar
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06 Jul 2017, 17:39
AR15J wrote:
Very silly question-- why xy is an incorrect answer?
Please help !
This question can be best solved by using values for all variables - l,w,x,y in the question. Let l =15, w = 10, x = 5, y = 2.
This means Orig. Area = 15X10 = 150 New Area = (15-5) X (10-2) = 10X8 = 80
Reduction in area = 150-80=70
AR15J To answer your question - xy will be incorrect coz reduction in area is not 10 here.
Back to main question: putting these values in all answer choices that we have, only C comes out with valid answer = 70 ly+wx-xy = 15X2+10X5-10X2 = 30+50-10 = 80-10 = 70.
Re: If x inches are cut from the length, l, of a rectangle and y inches ar
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09 Feb 2019, 10:10
duahsolo wrote:
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?
A) xy B) lw – yx C) ly + wx – xy D) lx + wy – xy E) xy – lw – wy
If x inches are cut from the length, l, of a rectangle and y inches ar
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09 Feb 2019, 11:07
duahsolo wrote:
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?
A) xy B) lw – yx C) ly + wx – xy D) lx + wy – xy E) xy – lw – wy
If x inches are cut from the length, then wx square inches are cut from one end of the rectangle.
If y inches are cut from the width, then ly square inches are cut from one long side of the rectangle.
There is an overlap of the two cut pieces in one corner. The area of the overlap is xy. By adding the lx and wy areas, we include this overlap twice. So, to account for the overlap, we have to subtract xy one time from the total.
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67% (02:10) correct 
