AbeNeedsAnswers wrote: ↑Fri Jun 05, 2020 6:31 pm
If the length of a diagonal of a square is 2(root x), what is the area of the square in terms of x?
A. (root x)
B. (root 2x)
C. 2(root x)
D. x
E. 2x
E
Here's what we're dealing with:
We're dealing with a
right triangle
So, we can apply the Pythagorean theorem to write:
k² +
k² = (
2√x)²
Simplify to get: 2k² = 4x
Divide both sides by 2 to get:
k² = 2x
Since
k = length of one side of the square, it follows that k² = the area of the square
Since
k² = 2x, we can conclude that 2x = the area of the square.
Answer: E
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
