Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 21 Jul 2019, 06:04

### 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

# The length (in feet) of a rectangle is 4 more than twice its width. Th

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56306
The length (in feet) of a rectangle is 4 more than twice its width. Th  [#permalink]

### Show Tags

29 Mar 2018, 00:45
00:00

Difficulty:

35% (medium)

Question Stats:

83% (01:34) correct 17% (02:13) wrong based on 52 sessions

### HideShow timer Statistics

The length (in feet) of a rectangle is 4 more than twice its width. The area of the rectangle is 70 feet^2. What is the length (in feet) of the rectangle?

(A) 5
(B) 7
(C) 10
(D) 12
(E) 14

_________________
Senior PS Moderator
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 751
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
Re: The length (in feet) of a rectangle is 4 more than twice its width. Th  [#permalink]

### Show Tags

29 Mar 2018, 00:53
Bunuel wrote:
The length (in feet) of a rectangle is 4 more than twice its width. The area of the rectangle is 70 feet^2. What is the length (in feet) of the rectangle?

(A) 5
(B) 7
(C) 10
(D) 12
(E) 14

Area of rectangle is length * width.

Let the length be L.
It is given to be 2*W + 4 , where W is width.
$$L = 2W+4$$
$$W = (L-4)/2$$

$$L*W = 70$$
$$L*(L-4)/2 = 70$$ ...(Substitute W in)
$$L^2 - 4L - 140 = 0$$

140 = 7*2*2*5 ... hence 14*10 we can use this to factorize...

$$L^2 - 14L + 10L - 140 = 0$$
$$L (L- 14)+ 10(L - 14) = 0$$
$$(L + 10)(L - 14) = 0$$
L= +14, -10 ... since L >0
$$L=14$$

Hence Option (E) is correct.

Best,
_________________
Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Senior SC Moderator
Joined: 22 May 2016
Posts: 3094
The length (in feet) of a rectangle is 4 more than twice its width. Th  [#permalink]

### Show Tags

29 Mar 2018, 19:30
Bunuel wrote:
The length (in feet) of a rectangle is 4 more than twice its width. The area of the rectangle is 70 feet^2. What is the length (in feet) of the rectangle?

(A) 5
(B) 7
(C) 10
(D) 12
(E) 14

$$l * w = Area, A$$
$$l= 2w + 4$$
$$A = 70$$
$$(2w + 4) * w = 70$$
$$2w^2 + 4w - 70 = 0$$
$$w^2 + 2w - 35=0$$
$$(w + 7)(w - 5) = 0$$
$$w = 5$$ (length cannot be negative)
$$l = (2w + 4) = (10 + 4) = 14$$

_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

-- Take another look. Take a look around. These are the moments you can't pass by.
The length (in feet) of a rectangle is 4 more than twice its width. Th   [#permalink] 29 Mar 2018, 19:30
Display posts from previous: Sort by