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09 Feb 2022, 11:30
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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:
5%
(low)
Question Stats:
92% (00:43) correct
8%
(00:25)
wrong
based on 49
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of rectangular floor R?
(1) The length of floor R is 1 meter more than its width.
(2) The perimeter of the floor is 22 meters.
(1) The length of floor R is 1 meter more than its width.
(2) The perimeter of the floor is 22 meters.
kungfury42
Joined: 07 Jan 2022
Last visit: 31 May 2023
Posts: 580
Given Kudos: 724
Schools: NUS '25 (A)
GMAT 1: 740 Q51 V38
GPA: 4
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09 Feb 2022, 11:58
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Statement 1:
Let the width of the rectangle be w
Therefore, length of the rectangle = w+1
Area of the rectangle = length*width
= w*(w+1)
However, we cannot proceed further since we don't know the value of w. Therefore, statement 1 is insufficient.
Statement 2:
Perimeter = 2*(L+B) = 22
Therefore, L+B = 11
Area = L*B
However, from here we cannot determine the value of L*B since there are multiple possible combinations of L and B that satisfy L+B=11 and they give varying values of L*B (for ex: 8+3=11 and 8*3=24 while 10+1=11 too but 10*1=10) Therefore, statement 2 is also insufficient.
Combining the two statements:
L+B=11
B=w and L=w+1
w+1+w=11
2w=10
w=5, and w+1=6
Therefore, Length of the rectangle = 6
Breadth of the rectangle = 5
Area = 5*6 = 30
Since both the statements are together sufficient to answer this question, our answer is option C.
Posted from my mobile device
Let the width of the rectangle be w
Therefore, length of the rectangle = w+1
Area of the rectangle = length*width
= w*(w+1)
However, we cannot proceed further since we don't know the value of w. Therefore, statement 1 is insufficient.
Statement 2:
Perimeter = 2*(L+B) = 22
Therefore, L+B = 11
Area = L*B
However, from here we cannot determine the value of L*B since there are multiple possible combinations of L and B that satisfy L+B=11 and they give varying values of L*B (for ex: 8+3=11 and 8*3=24 while 10+1=11 too but 10*1=10) Therefore, statement 2 is also insufficient.
Combining the two statements:
L+B=11
B=w and L=w+1
w+1+w=11
2w=10
w=5, and w+1=6
Therefore, Length of the rectangle = 6
Breadth of the rectangle = 5
Area = 5*6 = 30
Since both the statements are together sufficient to answer this question, our answer is option C.
Posted from my mobile device
13 Aug 2023, 06:56
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