It is currently 23 Nov 2017, 13:57

### 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

# What is the area of a rectangular garden with diagonal

Author Message
TAGS:

### Hide Tags

Intern
Joined: 09 Feb 2012
Posts: 47

Kudos [?]: 65 [0], given: 14

What is the area of a rectangular garden with diagonal [#permalink]

### Show Tags

23 Feb 2012, 13:21
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:49) correct 0% (00:00) wrong based on 9 sessions

### HideShow timer Statistics

What is the area of a rectangular garden with diagonal length of 200 feet and a perimeter of 560 feet?

Hi everybody,

I am stuck with the following problem. Would be great if someone could give me the answer.

What is the area of a rectangular garden with diagonal length of 200 feet and a perimeter of 560 feet?

The answer is 19200 but I dont get it.

Kudos [?]: 65 [0], given: 14

Math Expert
Joined: 02 Sep 2009
Posts: 42338

Kudos [?]: 133146 [0], given: 12415

Re: What is the area of a rectangular garden with diagonal [#permalink]

### Show Tags

23 Feb 2012, 13:36
Expert's post
1
This post was
BOOKMARKED
What is the area of a rectangular garden with diagonal length of 200 feet and a perimeter of 560 feet?

Let the sides of a rectangular garden be $$x$$ and $$y$$.

Given: $$Diagonal^2=x^2+y^2=200^2$$ and $$Perimeter=2(x+y)=560$$ --> $$x+y=280$$.
Question: $$Area=xy=?$$

Square $$x+y=280$$: $$x^2+2xy+y^2=280^2$$;

Substitute $$x^2+y^2$$: $$2xy+200^2=280^2$$ --> $$2xy=280^2-200^2$$;

Apply $$a^2-b^2=(a-b)(a+b)$$: $$2xy=(280-200)(280+200)=80*480$$ --> $$xy=80*240=19,200$$.

Hope it's clear.

_________________

Kudos [?]: 133146 [0], given: 12415

Intern
Joined: 09 Feb 2012
Posts: 47

Kudos [?]: 65 [0], given: 14

Re: What is the area of a rectangular garden with diagonal [#permalink]

### Show Tags

25 Feb 2012, 09:08
Super! Many thanks for your help. Totally clear now!

Unfortunately there were not answer choices. It was an open question.

Kudos [?]: 65 [0], given: 14

Non-Human User
Joined: 09 Sep 2013
Posts: 15506

Kudos [?]: 283 [0], given: 0

Re: What is the area of a rectangular garden with diagonal [#permalink]

### Show Tags

27 Mar 2017, 10:23
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 283 [0], given: 0

Re: What is the area of a rectangular garden with diagonal   [#permalink] 27 Mar 2017, 10:23
Display posts from previous: Sort by