BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

130-point score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Coordinate plane

Expert replies
by Nigogo » Mon Oct 12, 2009 9:10 pm
A certain square is to be drawn on a coordinate plane. One of the vertices must be on the origin, and the square is to have an area of 100. If all coordinates of the vertices must be integers, how many different ways can this square be drawn?
4
6
8
10
12 :roll:
Join the discussion
Source: — Problem Solving |

by papgust » Mon Oct 12, 2009 10:33 pm
Is the answer 10?
Join the discussion

by NikolayZ » Tue Oct 13, 2009 12:45 am
I ve seen this problem on this forum already afaik.

1) lets solve this for just one (first quadrant)
in order to make the square with integer sides - we have to know what pairs of (x;y) give us the desired square.
Assume we need to know just one pair of (x;y) coordinates of a square side - let it be OB ( 0 - origin)
- O (0:0),B (10:0)
- O (0:0),B (8:6)
- O (0:0),B (6:8)
SO, in each quadrant there will be 3 different square positions.
==> 12 IMO
Join the discussion

by Nigogo » Wed Oct 14, 2009 8:49 pm
the answer is 12, vertices with coordinates:
(-10,0)
(-8,6)
(-6,8)
(0,10)
(6,8)
(8,6)
(10,0)
(8, -6)
(6, -8)
(0, 10)
(-6, -8)
(-8, -6)

There are 12 different ways to draw ab, and so there are 12 ways to draw abcd.
Join the discussion