In the rectangle shown, if d = 10, what is x? (1) The perimeter of

Hi,

Its a 30-sec question, if we know the common pythogorean triplets asked in GMAT

Question: What is x ?

Given, it is a rectangle, so each vertex angle is 90 degree and also it is given that diagonal d = 10.

Since the questions is a Value DS question, we no need to do the algebra here, we just need to know the common pythogorean triplets.

6 – 8 – 10 is a very common pythogorean triplet, similarly 3 – 4 -5 , 12 – 5 -13 are common pythogorean triplets asked in GMAT.

So here,

x can be 6 and w can be 8 or

x can be 8 and w can be 6.

So there are two values of x.

Statement I is insufficient:

The perimeter of the rectangle is 28.

i.e., 2*(x+w) = 28

x+w = 14

Same reasoning,

x can be 6 and w can be 8 or

x can be 8 and w can be 6.

So not sufficient.

Statement II is insufficient:

The area of the rectangle is 48

i.e., x * w = 48

Same reasoning here too,

x can be 6 and w can be 8 or

x can be 8 and w can be 6.

Together also, same thing x can be 6 or 8. So not sufficient.

So the answer is E.

So we can't just assume x being the highest value of two because in the figure it's length seems to be almost double?

Hi artiom01,

We can't assume anything in GMAT with naked eye unless and until it is specifically mentioned.
Problem Solving
Figures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

Data Sufficiency:
Figures:
• Figures conform to the information given in the question, but will not necessarily conform to the additional information given in statements (1) and (2).
• Lines shown as straight are straight, and lines that appear jagged are also straight.
• The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero.
• All figures lie in a plane unless otherwise indicated.

You may go thru below link for more details and drills:-
https://gmatclub.com/forum/gmat-trick-r ... 01412.html

I got E by

Statement I : x^2 +w^2 =100 and after certain applications we get w*x=48. Now, w and x can be any irrational squares whose sum can add up to be 100, since it has not been mentioned whether x and y are integers.

Statement II : Like above.

Experts please guide. Am i correct with this approach ?