Join WhatsApp Icon JEE WhatsApp Group
Question 21

A square is cut into 37 squares of which 36 have area 1 square cm. The length of the side of the original square is


Correct Answer: 10

Solution

Share

Let the original square have side $$a$$ and the remaining square have side $$b$$. Since 36 unit squares and one square of side $$b$$ fill the original square, $$a^2=36+b^2$$. Hence $$\left(a-b\right)\left(a+b\right)=36$$. The positive even factors give $$a-b=2$$ and $$a+b=18$$, so $$a=10$$.

Get AI Help

Other Cracku’s Useful Resources:

JEE Questions JEE Question Bank JEE Mains Previous Papers JEE Advanced Previous Papers JEE Study Material PDF JEE Mains Mock Test JEE Advanced Mock Test JEE Daily Target

Free JEE Questions

JEE Physics Questions JEE Maths Questions JEE Chemistry Questions
banner

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now
Ask AI