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Question

The end of a gabled house with curtains on a board. Calculate how many meters a 150 mm wide board is needed when the house is 6m wide, the eaves height is 3.5m and the ridge height is 6m. (190 meter)

I don't get 190 meter.

Answer 1

The wall consists of a rectangle with the width of 6 m and the height of 3.5 m, and a triangle (atop the rectangle) with the base of 6 m and the height of 2.5 m (6 m - 3.5 m = 2.5 m)

The area of the rectangle is thus 6 x 3.5 m² = 21 m².

The area of the triangle is 1/2 x 6 x 2.5 m² = 7.5 m²

The total area is 21 m² + 7.5 m² = 28.5 m²

To find the total length of 150 mm board required to cover this area (assuming that there is no waste) you need to divide the area by the width of the board.

L = 28.5 m² / 150 mm = 28.5 m² / 0.15 m = 190 m