Jun 24 10:00 PM PDT  11:00 PM PDT Take 20% off the plan of your choice, now through midnight on Monday, 6/24 Jun 29 07:00 AM PDT  09:00 AM PDT Learn reading strategies that can help even nonvoracious reader to master GMAT RC Jun 30 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Jul 01 10:00 PM PDT  11:00 PM PDT Join a FREE 1day workshop and learn how to ace the GMAT while keeping your fulltime job. Limited for the first 99 registrants.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55758

A flat, rectangular flower bed with an area of 2,400 square feet is bo
[#permalink]
Show Tags
24 May 2019, 01:46
Question Stats:
54% (02:00) correct 46% (02:12) wrong based on 28 sessions
HideShow timer Statistics
A flat, rectangular flower bed with an area of 2,400 square feet is bordered by a fence on three sides and by a walkway on the fourth side. If the entire length of the fence is 140 feet, which of the following could be the length, in feet, of one of the sides of the flower bed? I. 30 II. 60 III. 80 A. I only B. II only C. III only D. I and III only E. I, II and III
Official Answer and Stats are available only to registered users. Register/ Login.
_________________



Intern
Joined: 11 Feb 2018
Posts: 16

Re: A flat, rectangular flower bed with an area of 2,400 square feet is bo
[#permalink]
Show Tags
24 May 2019, 03:29
Area of bed = 2400
Fence covers 3 sides Let sides be X and y 2x+y=140
X*y =2400
1.solve algebraic way or 2.plug in the options, (suitable for this problem)
Answer : X=30, y=80
Posted from my mobile device



Intern
Joined: 08 Apr 2019
Posts: 19
Location: India

Re: A flat, rectangular flower bed with an area of 2,400 square feet is bo
[#permalink]
Show Tags
24 May 2019, 06:40
For 30*80; 30+80+30=140 For 40*60; 40+60+40=140
So all three possible and option E is the correct choice.



Manager
Joined: 07 May 2018
Posts: 51

A flat, rectangular flower bed with an area of 2,400 square feet is bo
[#permalink]
Show Tags
25 May 2019, 07:55
You know that the area of the rectangular flower bed is 2,400 square feet. So if the flower bed is a feet long and b feet wide, then ab = 2,400. If the side of the flower bed that is bordered by the walkway is one of the sides that are b feet long, then the total length of the three sides of the flower bed bordered by the fence is 2a + b feet. Since you are given that the total length of the fence is 140 feet, it follows that 2a + b = 140. Since ab = 2,400, you can substitute 2400a2400a for b in the equation 2a + b = 140 to get the equation 2a+2400a=1402a+2400a=140. It follows that 2a2+2400=140a2a2+2400=140a, or a2−70a+1200=0a2−70a+1200=0.
When you solve this equation for a (either by factoring or by using the quadratic formula), you get a = 30 or a = 40. If a = 30, then b=240030=80b=240030=80; if a = 40, then b=240040=60b=240040=60. So the possible lengths of the sides are 30, 40, 60, and 80. Thus the correct answer is E.




A flat, rectangular flower bed with an area of 2,400 square feet is bo
[#permalink]
25 May 2019, 07:55






