Given the set a = {(x, y) | x | + | y | ≤ 1}, B = {(x, y) | (Y-X) (y + x) ≤ 0}, let m = a ∩ B, then the area of the plane region corresponding to m is______ ． | Math enthusiast | Mathematical art

Given the set a = {(x, y) | x | + | y | ≤ 1}, B = {(x, y) | (Y-X) (y + x) ≤ 0}, let m = a ∩ B, then the area of the plane region corresponding to m is______ ．

Because a = {(x, y) | x | + | y | ≤ 1} denotes the square in the graph, B = {(x, y) | (Y-X) (y + x) ≤ 0} denotes the angular region, then M = a ∩ B denotes the left and right small square regions in the graph. Its area is half of the area of the large square, that is 1

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