QUESTION

CSAT

Hard

Reasoning

Prelims 2018

Twelve equal squares are placed to fit in a rectangle of diagonal 5 cm. There are three rows containing four squares each. No gaps are left between adjacent squares. What is the area of each square?

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Explanation

By Pythagoras' theorem, we have:

$(5)^2 = (3x)^2 + (4x)^2$

$25 = 9x^2 + 16x^2$

$25 = 25x^2$

$\Rightarrow x = 1$

Therefore, the area of the squares is $x^2 = 1$ .

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