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Answer:

318 cm²

Step-by-step explanation:

Use the Pythagorean theorem to find the height of the triangle.

h = √(10²-6²) = 8 cm

area of triangle = ½×6×8 = 24 cm²

There are two triangles, for total are of 48 cm².

area of slanted rectangle = 10×15 = 150 cm²

area of vertical rectangle = 15×8 = 120 cm²

Lateral area = 48+150+120 = 318 cm²

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