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A certain rectangular window is twice as long as it is wide. If its perimeter...

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Re: A certain rectangular window is twice as long as it is wide. If its perimeter...

by Brent@GMATPrepNow » Fri May 15, 2020 5:31 am
AAPL wrote: ↑
Fri May 15, 2020 4:14 am
 Official Guide

A certain rectangular window is twice as long as it is wide. If its perimeter is 10 feet, then its dimensions in feet are

A. 3/2 by 7/2
B. 5/3 by 10/3
C. 2 by 4
D. 3 by 6
E. 10/3 by 20/3

OA B
We COULD use algebra to solve this question.
However, it's probably faster to just test the answer choices

The answer choices give us the length and width of the rectangle.
So, the sum of two values will equal HALF the perimeter of the rectangle.
Since we want a perimeter of 10, the correct answer choice will have a sum of 5 ( HALF the perimeter)

(A) 3/2 by 7/2
3/2 + 7/2 = 10/2 = 5
Yay!!!
Hold on!
The question tells us the length is TWICE the width, yet 7/2 is NOT twice 3/2
ELIMINATE A

(B) 5/3 by 10/3
5/3 + 10/3 = 15/3 = 5. GREAT!
Also, 10/3 IS TWICE 5/3

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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GMAT/MBA Expert

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GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Re: A certain rectangular window is twice as long as it is wide. If its perimeter...

by Brent@GMATPrepNow » Fri May 15, 2020 5:31 am
AAPL wrote: ↑
Fri May 15, 2020 4:14 am
 Official Guide

A certain rectangular window is twice as long as it is wide. If its perimeter is 10 feet, then its dimensions in feet are

A. 3/2 by 7/2
B. 5/3 by 10/3
C. 2 by 4
D. 3 by 6
E. 10/3 by 20/3

OA B
Approach #2: Algebra

Let x = the width of the rectangle
So, 2x = the length of the rectangle

If the perimeter is 10, we can write: x + x + 2x + 2x = 10
Simplify: 6x = 10
Solve: x = 10/6 = 5/3
So, the width (x) is 5/3
And the length (2x) is 10/3

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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