perplexus.info :: Just Math : Square off from rectangle

Square off from rectangle (Posted on 2023-08-28)

Bob finds a rectangular sheet of paper and measures its diagonal to be 8cm. Bob then cuts out equal squares of side 1cm at two opposite corners of the paper and measures the distance between the two closest vertices of these squares to be 4√2cm. What is the area of the original rectangular paper?

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 4.0000 (1 votes)

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re: solution

| Comment 3 of 4 |

(In reply to solution by Paul)

A shorter route to the answer:

after Paul reaches (a + b) =10,

square the equation and subtract a^2 + b^2 = 64

This gives 2ab = 36,

so the area = ab = 18. Final answer

Posted by Steve Herman on 2023-08-28 16:41:57

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