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# M23-24

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Intern
Joined: 14 Aug 2015
Posts: 30
Location: India
Concentration: Other, Technology
WE: Engineering (Retail)

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11 Jul 2018, 07:44
Statement (1) by itself is sufficient. We can find the sides of the rectangle (40 and 2).

How can one tell the sides are 40 and 2.
length * breadth = 80.
length + breadth = 42.

since lb is a positive value, I can say both of the them are positive or both of them could be negative.
Both of them should be positive because l + b is positive.

Can't l and b have any real value solutions in this scenario? Nowhere it is mentioned that l and b should be integers.
Intern
Joined: 03 Feb 2016
Posts: 11

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02 Aug 2018, 07:44
use of cosine rule we can easily find the angle.
Manager
Joined: 27 Apr 2011
Posts: 52
Location: India
GMAT Date: 06-13-2017

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29 Aug 2018, 01:39
The stepwise solution is as below:
If the area of a rectangle is 80, what is the angle between the diagonal of the rectangle and its longer side?

Remember word "Rectangle" includes square. In case of square, angle between diagonal and longer side is 45. In case of rectangle, angle between diagonal and longer side is less than 45. We just need to determine

(1) The perimeter of the rectangle is 84

It means 2(m+n) = 84 and mn=80 (given). So m+n=42 and mn=80.
Now substituting m=80/n in m+n=42 can give value of m and n. Hence, n=2 and m=40. So it is not a square and if we know sides of rectangle, the we can definitely calculate angle by drawing it or by trigonometry etc. SUFFICIENT

(2) The shorter side of the rectangle is 2

Hence, m=40 and n=2. Both statement says same thing. SUFFICIENT

OA: D

Hope it clarifies. Please give kudos, if you like the answer.
_________________

Hope it's clear.
_________________
Please +1 KUDO if my post helps. Thank you.

Manager
Joined: 27 Apr 2011
Posts: 52
Location: India
GMAT Date: 06-13-2017

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29 Aug 2018, 01:43
The stepwise solution is as below:
If the area of a rectangle is 80, what is the angle between the diagonal of the rectangle and its longer side?

Remember word "Rectangle" includes square. In case of square, angle between diagonal and longer side is 45. In case of rectangle, angle between diagonal and longer side is less than 45. We just need to determine

(1) The perimeter of the rectangle is 84

It means 2(m+n) = 84 and mn=80 (given). So m+n=42 and mn=80.
Now substituting m=80/n in m+n=42 can give value of m and n. Hence, n=2 and m=40. So it is not a square and if we know sides of rectangle, the we can definitely calculate angle by drawing it or by trigonometry etc. SUFFICIENT

(2) The shorter side of the rectangle is 2

Hence, m=40 and n=2. Both statement says same thing. SUFFICIENT

OA: D

Hope it clarifies. Please give kudos, if you like the answer.
_________________

Hope it's clear.
_________________
Please +1 KUDO if my post helps. Thank you.

Intern
Joined: 18 Oct 2017
Posts: 1

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18 Oct 2018, 08:12
Hi Bunuel,

Just a question.

For DS questions, say in algebra, when we ask what is x? (we try to find the value of x)

I was assuming the same here.
when we are asked what is the angle, aren't we supposed to find the value of the angle. Rather than saying just it is possible to calculate the angle.

Just trying to understand the difference between the two.

Thanks
Intern
Joined: 06 Jun 2017
Posts: 13

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03 Nov 2018, 19:49
Bunuel wrote:
Official Solution:

Statement (1) by itself is sufficient. We can find the sides of the rectangle (40 and 2).

Statement (2) by itself is sufficient. We can find the sides of the rectangle (40 and 2).

I chose the answer as B. Initially I was convinced since I have l + b = 42 and l * b = 80, I thought it could be (40 , 2) but since the problem didn't mention the sides are integers, I assumed, there could be more than one value , for example l = ~ 38.9 & B= ~ 1.1.

I felt I overthought the problem but should it specify l & b are integers?
Intern
Joined: 06 Jun 2017
Posts: 13

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09 Nov 2018, 11:28
HariharanIyeer0 wrote:
Bunuel wrote:
Official Solution:

Statement (1) by itself is sufficient. We can find the sides of the rectangle (40 and 2).

Statement (2) by itself is sufficient. We can find the sides of the rectangle (40 and 2).

I chose the answer as B. Initially I was convinced since I have l + b = 42 and l * b = 80, I thought it could be (40 , 2) but since the problem didn't mention the sides are integers, I assumed, there could be more than one value , for example l = ~ 38.9 & B= ~ 1.1.

I felt I overthought the problem but should it specify l & b are integers?

Can someone help !!
Re: M23-24 &nbs [#permalink] 09 Nov 2018, 11:28

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# M23-24

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