这题挺简单,直接用长方形面积减去三个白色三角形的面积就行:Denote the length and width of the rectangle by L and W, respectively. Then the area of the shaded region = 100-1/2*[4*W + 3L +(L-4)*(W-3)] = 100 - 1/2*[4W+3L+L*W - 3L - 4W + 4*3] = 100 - 1/2*[L*W + 12] = 100 - 1/2*[100 + 12] = 44 L*W 就是长方形的面积,等于100
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