The orange parallelogram is constructed using the midpoints of the black quadrilateral.
If the area of the parallelogram is 64cm^{2}, find the lengths a and b.

Enjoyed the puzzle. If I’ve calculated correctly, a should be 16 sq root 2, and b should be 4 sq root 26. (Sorry, don’t know how to make notation on this comment board)

Enjoyed the puzzle. If I’ve calculated correctly, a should be 16 sq root 2, and b should be 4 sq root 26. (Sorry, don’t know how to make notation on this comment board)

Sadly not correct. ‘a’ is a surd (but not that surd), but ‘b’ is an integer.

a = 12sqrt2, b = 16

correct ðŸ™‚

My Solution is here https://www.dropbox.com/s/4hvsvp8lpo97ctw/Quadrilateral%20Midpoints.pptx?dl=0

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