Hip-roof

The roof consists of two isosceles trapezoids and two isosceles triangles. The roof plan is a rectangle with dimensions of 8 m × 14 m, and the roof ridge is 8 m long. The height of each trapezoid is 5 m and the height of each triangle is 4.2 m. How many tiles are needed to cover the roof if 15 tiles are required per 1 m²?

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