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27 Dec 2015, 10:47
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (01:59) correct
15%
(02:31)
wrong
based on 207
sessions
History
Date
Time
Result
Not Attempted Yet
If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?
A. 4
B. 7
C. 8
D. 13
E. 26
A. 4
B. 7
C. 8
D. 13
E. 26
27 Dec 2015, 21:55
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If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?
l*w=104
2l+2w=42
l+w=21
l=21-w
(21-w)*w=104
solve for w.
w = 8 or 13
shorter side = 8
C. 8
l*w=104
2l+2w=42
l+w=21
l=21-w
(21-w)*w=104
solve for w.
w = 8 or 13
shorter side = 8
C. 8
28 Dec 2015, 23:02
Kudos
Bookmarks
Hi All,
This question can be solved algebraically or by TESTing THE ANSWERS.
We're told that a rectangle has an area of 104 and a perimeter of 42. We're asked for the length of one of the SHORTER sides of the rectangle.
Since the answers are all INTEGERS, and the area is 104, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square). Answer B (7) does NOT divide evenly into 104, so the correct answer is probably A or C.
Let's TEST Answer C: 8
IF...
The shorter side = 8...
The area = 104....104/8 = 13 = the longer side
Perimeter = 8+8+13+13 = 42
This is an exact MATCH for what we were told, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question can be solved algebraically or by TESTing THE ANSWERS.
We're told that a rectangle has an area of 104 and a perimeter of 42. We're asked for the length of one of the SHORTER sides of the rectangle.
Since the answers are all INTEGERS, and the area is 104, the shorter side will almost certainly be less than 10 (since 10x10 = 100, but we're NOT dealing with a square). Answer B (7) does NOT divide evenly into 104, so the correct answer is probably A or C.
Let's TEST Answer C: 8
IF...
The shorter side = 8...
The area = 104....104/8 = 13 = the longer side
Perimeter = 8+8+13+13 = 42
This is an exact MATCH for what we were told, so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
