@marine no it doesn't
From the image, we can see the sandwich is approximately a square. Because it is a square, all lengths are equal.
Let the length of one sandwich side = x,
∴ sandwich area = x^2
Slicing down the middle gives two equal rectangles, with the shorter side = x / 2
∴ Area of rectangular slice = x * (x / 2) = x^2 / 2
Slicing down the middle gives two equal triangles, base and height are both = x
∴ Area of triangular slice = (x * x) / 2 = x^2 / 2 = Area of rectangular slice
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