• Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • examPAL
    Most awarded test prep in the world
    Now free for 30 days

    Available with Beat the GMAT members only code

    MORE DETAILS
    examPAL
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep

DS Section 16, #17

This topic has 3 member replies
jaheer Junior | Next Rank: 30 Posts Default Avatar
Joined
15 Feb 2007
Posted:
11 messages

DS Section 16, #17

Post Mon Feb 19, 2007 6:38 am
17. The figure above shows the shape of a flower bed. If arc QR is a semicircle and PQRS is a rectangle with QR > RS, what is the perimeter of the flower bed ?
(1) The perimeter of rectangle PQRS is 28 feet.
(2) Each diagonal of rectangle PQRS is 10 feet long.

I've attached the picture. It is a rectangle PQRS with Semi-circle on the top.

I feel the answer is B, but correct answer mentioned is C. Can someone please explain.

Thanks in Advance.
Jaheer

  • +1 Upvote Post
  • Quote
  • Flag
Vasudha Senior | Next Rank: 100 Posts Default Avatar
Joined
12 Jan 2007
Posted:
46 messages
Upvotes:
1
Post Sun Mar 11, 2007 8:50 pm
Thank you, jayhawk2001.

  • +1 Upvote Post
  • Quote
  • Flag
jayhawk2001 Community Manager
Joined
28 Jan 2007
Posted:
789 messages
Followed by:
1 members
Upvotes:
30
Post Sun Mar 11, 2007 8:20 pm
I can't find the image but given that we have the semicircle on top of
the rectange, lets assume

PS = QR = l
RS = QP = w

We should find l and w to solve this.

1 - insufficient. All we know is 2(l + w) = 28

2 - insufficient. All we know is l^2 + w^2 = 100. Cannot solve for l or w.

Using 1 and 2, we have 2 equations with 2 variables. So, a solution
should exist and hence is sufficient.

Sub l = 14 - w

196 + w^2 - 28w + w^2 = 100
w^2 - 14w + 48 = 0
w = 8 or 6

We are given that l > w and so we know what l is. Perimeter of the
flower-bed can hence be computed.

  • +1 Upvote Post
  • Quote
  • Flag
Vasudha Senior | Next Rank: 100 Posts Default Avatar
Joined
12 Jan 2007
Posted:
46 messages
Upvotes:
1
Post Sun Mar 11, 2007 7:07 pm
Hi

I dont see the attached image ..

  • +1 Upvote Post
  • Quote
  • Flag

Best Conversation Starters

1 lheiannie07 108 topics
2 ardz24 67 topics
3 Roland2rule 63 topics
4 LUANDATO 50 topics
5 swerve 43 topics
See More Top Beat The GMAT Members...

Most Active Experts

1 image description GMATGuruNY

The Princeton Review Teacher

152 posts
2 image description Jeff@TargetTestPrep

Target Test Prep

106 posts
3 image description Rich.C@EMPOWERgma...

EMPOWERgmat

103 posts
4 image description Scott@TargetTestPrep

Target Test Prep

96 posts
5 image description Max@Math Revolution

Math Revolution

86 posts
See More Top Beat The GMAT Experts