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# If the length and width of rectangle A are 10 percent less and 30 perc

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Math Expert
Joined: 02 Sep 2009
Posts: 47200
If the length and width of rectangle A are 10 percent less and 30 perc  [#permalink]

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27 Sep 2017, 04:50
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If the length and width of rectangle A are 10 percent less and 30 percent less respectively than the length and width of rectangle B, the area of A is equal to what percent of the area of B?

(A) 63%
(B) 60%
(C) 40%
(D) 6%
(E) 3%

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Joined: 02 Sep 2016
Posts: 15
GMAT 1: 660 Q50 V29
Re: If the length and width of rectangle A are 10 percent less and 30 perc  [#permalink]

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27 Sep 2017, 06:44
Let length and width of the rectangle B are X and Y .

So area of rectangle B is XY.

From given data we get length and rectangle of rectangle A are 0.9X and 0.7Y

So area of rectangke A is 0.63XY

Percentage of Area of rectangle A / Area of rectangle B = (0.63XY/XY )*100 = 63%
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Joined: 02 Jul 2017
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Re: If the length and width of rectangle A are 10 percent less and 30 perc  [#permalink]

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27 Sep 2017, 10:34
If the length and width of rectangle A are 10 percent less and 30 percent less respectively than the length and width of rectangle B, the area of A is equal to what percent of the area of B?

Let measurement of rectangle B = l*b

Measurement of A => 10% less of l and 30% less of b = 0.9l & 0.7b

Area of A = 0.9l * 0.7b = 0.63 l*b = 0.63 * Area of B
=> Area of A is 63 % of area of B

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Re: If the length and width of rectangle A are 10 percent less and 30 perc  [#permalink]

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27 Sep 2017, 10:37
Bunuel wrote:
If the length and width of rectangle A are 10 percent less and 30 percent less respectively than the length and width of rectangle B, the area of A is equal to what percent of the area of B?

(A) 63%
(B) 60%
(C) 40%
(D) 6%
(E) 3%

As nothing is mentioned about the sides we can assume that length and breadth of the rectangle B be $$100$$ & $$100$$ respectively

so rectangle A's length and breadth will be $$90$$ & $$70$$

Hence % area of A $$= (\frac{90*70}{100*100})*100 = 63%$$

Option A
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Re: If the length and width of rectangle A are 10 percent less and 30 perc  [#permalink]

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01 Oct 2017, 12:11
Bunuel wrote:
If the length and width of rectangle A are 10 percent less and 30 percent less respectively than the length and width of rectangle B, the area of A is equal to what percent of the area of B?

(A) 63%
(B) 60%
(C) 40%
(D) 6%
(E) 3%

We can let L = the length of rectangle B and W = the width of rectangle B. Thus, the area of rectangle B is LW and the area of rectangle A is (0.9L)(0.7W) = 0.63LW.

So, the area of rectangle A is 63% of the area of rectangle B.

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Re: If the length and width of rectangle A are 10 percent less and 30 perc &nbs [#permalink] 01 Oct 2017, 12:11
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