Question

I have four rectangular pieces of thin hardboard whose dimensions (in cm) are 55×85, 65×75, 65×85 and 90×105.

Without bending the hardboard, how many of these can I get through an open rectangular window measuring 60cm×80cm?

Answer 1

All of them

Explanation:

Longest edge that can pass through this window is:

sqrt(60² + 80²)

sqrt(10000)

100

(The diagonal)

Since all of the pieces have atleast one length less than 100, all can pass through the window