Bunuel wrote:
If a rectangle of area 24 can be partitioned into exactly 3 nonoverlapping squares of equal area, what is the length of the longest side of the rectangle?
A. \(2\sqrt{2}\)
B. 6
C. 8
D. \(6\sqrt{2}\)
E. \(12\sqrt{2}\)
PS88502.01
Quantitative Review 2020 NEW QUESTION
Let's
work backwardsHere are 3 squares (with sides length x) comprising a rectangle

So, the rectangle has base of 3x and height of x
GIVEN: The rectangle has area 24Area of rectangle = (base)(height)We can write: 24 = (3x)(x)
Simplify: 24 = 3x²
So 8 = x²
This means x = √8 = √[(4)(2)] = (√4)(√2) =
2√2What is the length of the longest side of the rectangle?The longest side had length 3x
3x = 3(
2√2) = 6√2
Answer: D
Cheers,
Brent
_________________
Brent Hanneson – Creator of gmatprepnow.com
I’ve spent the last 20 years helping students overcome their difficulties with GMAT math, and the biggest thing I’ve learned is…
Many students fail to maximize their quant score NOT because they lack the skills to solve certain questions but because they don’t understand what the GMAT is truly testing -
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