It is currently 18 Oct 2017, 06:26

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If the area of ∆ PQR above is 32, what is the length of PR?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128710 [0], given: 12182

If the area of ∆ PQR above is 32, what is the length of PR? [#permalink]

### Show Tags

17 Aug 2017, 23:35
00:00

Difficulty:

(N/A)

Question Stats:

95% (00:19) correct 5% (00:00) wrong based on 40 sessions

### HideShow timer Statistics

If the area of ∆ PQR above is 32, what is the length of PR?

(A) 2
(B) 7
(C) 8
(D) 16
(E) 32

[Reveal] Spoiler:
Attachment:

2017-08-18_1026_001.png [ 3.91 KiB | Viewed 451 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 128710 [0], given: 12182

Intern
Joined: 02 Sep 2016
Posts: 15

Kudos [?]: 1 [0], given: 1

GMAT 1: 660 Q50 V29
Re: If the area of ∆ PQR above is 32, what is the length of PR? [#permalink]

### Show Tags

18 Aug 2017, 00:14
Area =32
Given triangle is right angled triangle. And one angle is 45. From this we will get angle pqr which is 45. So the triangle is isosceles right triangle.
So area = 1/2 * pr*pr=32
Pr = 8

Sent from my MotoG3 using GMAT Club Forum mobile app

Kudos [?]: 1 [0], given: 1

Manager
Joined: 14 Sep 2016
Posts: 136

Kudos [?]: 5 [0], given: 35

Re: If the area of ∆ PQR above is 32, what is the length of PR? [#permalink]

### Show Tags

18 Aug 2017, 03:03
45-45-90 triangle

we get height = base

so, .5 * x^2 = 32

X = 8

Kudos [?]: 5 [0], given: 35

Director
Joined: 22 May 2016
Posts: 806

Kudos [?]: 258 [0], given: 546

If the area of ∆ PQR above is 32, what is the length of PR? [#permalink]

### Show Tags

18 Aug 2017, 11:57
Bunuel wrote:

If the area of ∆ PQR above is 32, what is the length of PR?

(A) 2
(B) 7
(C) 8
(D) 16
(E) 32

[Reveal] Spoiler:
Attachment:
2017-08-18_1026_001.png

Third angle must = 45°; this is an isosceles right triangle

Area of isosceles right triangle, where a = leg (i.e., not hypotenuse) is $$\frac{a^2}{2}$$

$$\frac{a^2}{2}$$ = 32

$$a^2$$ = 64

a = 8 = PR

Kudos [?]: 258 [0], given: 546

BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 1450

Kudos [?]: 593 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
If the area of ∆ PQR above is 32, what is the length of PR? [#permalink]

### Show Tags

18 Aug 2017, 20:30

Given data: Area of ∆ PQR above is 32.

Since, one of the angles is 45 degree, the right angled triangle is isosceles.
The ratios of the sides are $$1:1:\sqrt{2}$$

Let PR = PQ = x(which is both the Base and the Height)

Since area is 32, $$\frac{1}{2} * x^2 = 32$$
$$x^2 = 64 => x = 8$$

Therefore, the length of PR is 8(Option C)
_________________

Stay hungry, Stay foolish

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 593 [0], given: 16

If the area of ∆ PQR above is 32, what is the length of PR?   [#permalink] 18 Aug 2017, 20:30
Display posts from previous: Sort by

# If the area of ∆ PQR above is 32, what is the length of PR?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.