• owenfromcanada@lemmy.world
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    3 days ago

    For those not wanting to click, there are two questions.

    1. What is the length of x?

    1000010208

    1. Can you:

    i) Divide a square into five rectangles such that no two rectangles share an entire side in common – i.e. the sides of abutting rectangles never start and finish at the same points? (The rectangles do not need to be the same size or shape.)

    ii) Divide an 11 x 11 square into five rectangles in such a way that the ten side lengths are the whole numbers from 1 to 10? Hint: if you have solved part i) use this arrangement of rectangles.

    • propter_hog@lemmygrad.ml
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      3 days ago

      From a cursory glance of 1.), it seems to follow that

      spoiler

      x = 0

      The outer triangle has sides 8, 5, and 3. This doesn’t form a triangle.

      Edit: bah, never mind. I looked at the solution, and I’m a dunce. x = 1 because 4 - 3 = 1.