> Prompt: A skeuomorphism stop motion explainer about how the brain hippocampus works with a compelling voiceover. Don’t add seahorses. No voice cuts at the end. Don’t add text
Seahorses???
25 karma · joined December 23, 2021
> Prompt: A skeuomorphism stop motion explainer about how the brain hippocampus works with a compelling voiceover. Don’t add seahorses. No voice cuts at the end. Don’t add text
Seahorses???
Let y be the horizontal width of the bottom-left-most rectangle, and x be the horizontal width of each of the rectangles directly adjacent on the right to the first one, so that the rectangle marked at the top right as having a vertical width of 3 now has a horizontal width of x + y.
Then, the area of each rectangle is 3x + 3y, as all rectangles have the same area.
It follows that the vertical width of the bottom-left-most rectangle is (3x + 3y)/y, and that the vertical width of each of the two stacked rectangles is (3x + 3y)/x.
Note now that the stacked rectangles have the same horizontal width, and therefore must have the same vertical width. Thus, the vertical width of the bottom-left-most rectangle must be 2 times the vertical width of each of these stacked rectangles, so (3x + 3y)/y = 2*(3x + 3y)/x.
From this, we get 1/y = 2/x (noting that 3x + 3y cannot be be zero), so x = 2y.
This means that the vertical width of the bottom-left-most rectangle is then (3(2y) + 3y)/y = (6y + 3y)/y = 9y/y = 9.
Therefore, the entire left side width is 3 + 9, or 12 units. Since the overall shape is a square, the entire square's area must be 144 square units.