Question

Philip folds his origami paper along the dotted lines shown below so that the triangular flaps overlap exactly on the square

If the dimensions of the origami paper are decreased by 1/2 what will be the new area of the paper?


36 sq in
144 sq in
108 sq in
72 sq in

Answer 1

dpalnc please help ?

Answer 2

Try to find the area of the original origami paper and then go through a process of elimination. Six times the square root of two (6 * sqrt2) times itself would give you an area of x? Once you get x, you can eliminate that number from the answer choices (it is in one of the radio/bullet points/options for the test). I got 18 for the area doing \[((6 * \sqrt{2}) / 2)^{2}\] (The result of six times the square root of two divided by two (to account for the halfing of the dimensions) and then squared to account for the area, since the area of a square is equal to squaring a side-length. @Stephanie7