Last visit was: 22 Apr 2026, 17:01 It is currently 22 Apr 2026, 17:01
Home
Messages
Tests
Schools
Events
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
vinayakjjw
User avatar
Joined: 02 Apr 2022
Last visit: 19 Nov 2022
Posts: 10
Own Kudos:
17
 [9]
Given Kudos: 11
Posts: 10
Kudos: 17
 [9]
On the xy-plane, if points P, Q, and R have (x, y) coordinates (-4, -5 Updated on: 07 Jul 2022, 01:21
Originally posted by vinayakjjw on 06 Jul 2022, 21:07.
Last edited by Bunuel on 07 Jul 2022, 01:21, edited 1 time in total.
Renamed the topic and edited the question.
2
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

67% (02:40) correct 33% (02:53) wrong based on 152 sessions

History

Date
Time
Result
Not Attempted Yet
On the xy-plane, if points P, Q, and R have (x, y) coordinates (-4, -5), (-2, 3) and, (4,-3), respectively, what is the area of triangle PQR?

A. 15 sq. unit.
B. 20 sq. unit.
C. 24 sq. unit.
D. 30 sq. unit.
E. 36 sq. unit.
ShowHide Answer
Official Answer
D
User avatar
poorvi125
User avatar
Joined: 08 Jun 2022
Last visit: 04 Feb 2024
Posts: 39
Own Kudos:
8
 [1]
Given Kudos: 592
Posts: 39
Kudos: 8
 [1]
On the xy-plane, if points P, Q, and R have (x, y) coordinates (-4, -5 16 Jul 2022, 07:52
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I solved this by drawing the coordinates on XY plane to scale and then using heron's formula. You can PM me to know the exact method.
avatar
aumd568
avatar
Joined: 20 Nov 2021
Last visit: 07 Nov 2022
Posts: 20
Own Kudos:
6
Given Kudos: 54
Location: India
Schools: Booth '24 Columbia CBS '24 Fuqua '24 Haas '24 Harvard '24 Johnson '24 Kellogg '24 Sloan '24 Stanford '24 Wharton '24
GMAT 1: 700 Q50 V35
Schools: Booth '24 Columbia CBS '24 Fuqua '24 Haas '24 Harvard '24 Johnson '24 Kellogg '24 Sloan '24 Stanford '24 Wharton '24
GMAT 1: 700 Q50 V35
Posts: 20
Kudos: 6
On the xy-plane, if points P, Q, and R have (x, y) coordinates (-4, -5 18 Jul 2022, 04:41
Kudos
Add Kudos
Bookmarks
Bookmark this Post
https://www.omnicalculator.com/math/are ... oordinates

Shorter method for this.

I personally use matrices but Method I works too.

Would not recommend creating a square and then subtracting all areas till you get the area of the triangle. Too long

-Aum
User avatar
pyroabhi
User avatar
Joined: 25 May 2021
Last visit: 24 Jun 2025
Posts: 28
Own Kudos:
7
 [1]
Given Kudos: 311
Location: India
Concentration: Human Resources, Economics
Schools: INSEAD Jan'23 intake ISB '23 BITSoM '23
GMAT 1: 660 Q48 V34
GPA: 3.94
Products:
My Reviews
Schools: INSEAD Jan'23 intake ISB '23 BITSoM '23
GMAT 1: 660 Q48 V34
Posts: 28
Kudos: 7
 [1]
On the xy-plane, if points P, Q, and R have (x, y) coordinates (-4, -5 09 Jul 2023, 01:48
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The fastest method to do this is on a graph paper.
The sketch pad provided in the exam can be used as a coordinate pad. If you draw the figure to scale on the pad, the area can be calculated by counting the number of complete squares that are covered in the figure of the triangle. It will take less than a minute to figure out that the area will be greater than 24 but less than 36. Hence 30 will be the answer.

You can google- virtual graph paper-to practice more of this technique.
User avatar
caffe-au-lait
User avatar
Joined: 02 Jul 2023
Last visit: 06 Sep 2023
Posts: 2
Own Kudos:
2
 [1]
Given Kudos: 6
Posts: 2
Kudos: 2
 [1]
On the xy-plane, if points P, Q, and R have (x, y) coordinates (-4, -5 14 Jul 2023, 14:34
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If solving by subtracting the 3 right triangles that result from drawing a rectangle/square around the original triangle (saves from memorizing a formula):

    1. Draw rough picture of triangle and rectangle around it for reference. Coordinates of rectangle are (-4,3), (4,3), (4,-5), and P (-4,-5) based on the max and min x- and y-coordinates of P, Q, R
    2. Distance between the coordinates shows that this rectangle is a square with sides 8 units long
    3. Area of square = \(side^2\) = \(8^2\) = 64
    4. Distance between the coordinates of square corners and the points forming the triangle should give you three right triangles, where two have base/height of 8 and 2 and the third has a base/height of 6 each
    5. Areas of these triangles based on A= \(\frac{1}{2}\)*b*h are \(\frac{1}{2}\)*2*8 = 8, \(\frac{1}{2}\)*2*8 = 8, and \(\frac{1}{2}\)*6*6 = 18
    6. Area of triangle of interest = 64 - 8 - 8 - 18 = 30, which is D
User avatar
Kratosgmat
User avatar
Joined: 26 Sep 2022
Last visit: 07 Mar 2025
Posts: 86
Own Kudos:
15
Given Kudos: 44
Location: India
Concentration: General Management, Other
GRE 1: Q164 V158
GRE 2: Q170 V163
GRE 1: Q164 V158
GRE 2: Q170 V163
Posts: 86
Kudos: 15
On the xy-plane, if points P, Q, and R have (x, y) coordinates (-4, -5 25 Jul 2023, 18:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Area=1/2(∣x1(y2−y3)+x2(y3−y1)+x3(y1−y2)∣)


=1/2[-4(6)-2(2)+4(-8)]

= ½ |(-24-4-32)|
=60/2 =30


Option D
Moderators:
Bunuel
Math Expert
109754 posts
Krunaal
Tuck School Moderator
853 posts