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Difficulty:
5%
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Question Stats:
91% (00:25) correct
9%
(00:44)
wrong
based on 138
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What is the area of square ABCD?
(1) The diagonal of square ABCD is \(5\sqrt{2}\)
(2) The perimeter of square ABCD is 20
Kudos for correct solution.
_________________
(1) The diagonal of square ABCD is \(5\sqrt{2}\)
(2) The perimeter of square ABCD is 20
Kudos for correct solution.
_________________
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Mo2men
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Bunuel
Let the length of square= L
(1) The diagonal of square ABCD is \(5\sqrt{2}\)
So L= 5........> Area =5*5=25
(2) The perimeter of square ABCD is 20..............> 4L=20...? L=5
Area= 25
Answer: D
Let the length of square= L
(1) The diagonal of square ABCD is 52√52
So L= 5........> Area =5*5=25
(2) The perimeter of square ABCD is 20..............> 4L=20...? L=5
Area= 25
WE KNOW THAT SQUARE FORMS 45, 45, 90 TRIANGLE , SO BASIC CONCEPT IS KNOWING ANY SINGLE SIDE WE CAN CALCULATE ALL OTHER SIDES..
(1) The diagonal of square ABCD is 52√52
So L= 5........> Area =5*5=25
(2) The perimeter of square ABCD is 20..............> 4L=20...? L=5
Area= 25
WE KNOW THAT SQUARE FORMS 45, 45, 90 TRIANGLE , SO BASIC CONCEPT IS KNOWING ANY SINGLE SIDE WE CAN CALCULATE ALL OTHER SIDES..
GMAT 1: 760 Q51 V42
Posts: 10,057
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
What is the area of square ABCD?
(1) The diagonal of square ABCD is 5 √2
(2) The perimeter of square ABCD is 20
In the original condition, there is 1 variable(one side of square: x) for square, which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer. In fact, it is 99% that D is the answer.
For 1), from √2(x)=5√2, x=5, which is unique and sufficient.
For 2), from 4x=20, x=5, which is unique and sufficient.
Therefore, the answer is D.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
What is the area of square ABCD?
(1) The diagonal of square ABCD is 5 √2
(2) The perimeter of square ABCD is 20
In the original condition, there is 1 variable(one side of square: x) for square, which should match with the number of equations. So you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer. In fact, it is 99% that D is the answer.
For 1), from √2(x)=5√2, x=5, which is unique and sufficient.
For 2), from 4x=20, x=5, which is unique and sufficient.
Therefore, the answer is D.
For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
Posts: 386
Statement 1 gives the length of diagonal of square as 5 \(\sqrt{2}\)
so side is 5 and area =\(side^2\) = 25
So sufficient
Statement 2 gives the perimeter as 20
perimeter = 4 * side = 20 so side is 5 and area = \(side^2\) = 25
So sufficient
Correct Answer - D
so side is 5 and area =\(side^2\) = 25
So sufficient
Statement 2 gives the perimeter as 20
perimeter = 4 * side = 20 so side is 5 and area = \(side^2\) = 25
So sufficient
Correct Answer - D
Bunuel
Took 16 secs to solve..I think it's still more..
Stat 1: \(a\sqrt{2}\)(Diagonal of a sqaure) = \(5\sqrt{2}\).
a = 5.. Sufficient..
Stat 2: 4a = 20 , a = 5..Sufficient..
Option D is correct answer..
D
Statement 1 is sufficient
Side is 7
So area would be 49
Statement 2 is sufficient as well
Side is 7 as diagonal is sideroot2
So area 49
Sent from my SM-G600FY using GMAT Club Forum mobile app
Statement 1 is sufficient
Side is 7
So area would be 49
Statement 2 is sufficient as well
Side is 7 as diagonal is sideroot2
So area 49
Sent from my SM-G600FY using GMAT Club Forum mobile app
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