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f.1 數學題

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In the diagram, ABCD is a spuare od side 10cm. Find the area of the shaded region PQRS. 圖:http://upload.ysk.cc/upload/photo/200808/1219032841-ESVWZfms34.jpg

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area of triangle AQP= area of the triangle next to it in PQRS area of triangle QBR= area of the triangle next to it in PQRS area of triangle RCS= area of the triangle next to it in PQRS area of triangle PDS= area of the triangle next to it in PQRS the area of the square ABCD = the total area of the above 8 triangles and the small square amid the above 8 triangles the small square amid the triangles = 4x3 = 12 10x10 = total area of the 8 triangles + 12 total area of the 8 triangles = 100 - 12 = 88 area of the shaded part = 1/2(total area of the 8 triangles) + the small square = 1/2 x 88 + 12 = 44 + 12 = 56cm^2

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