Question

5 Samir wants to work out the cost of the tiles needed to replace a roof.

The roof has 4 identical faces.
Each face is a triangle.
Each triangle has a base length of 7.6 m and a height of 4.8 m.
Samir has this information,
roof tiles
1 pack of tiles covers 13.8 m² (including overlaps)
each pack costs £716.10

Answer 1

Explanation:

Since the roof has 4 identical faces and each face is a triangle, we would determine the area of each face of the triangle by applying the formula,

Area of triangle = 1/2 × base × height

Area of each triangular face = 1/2 × 7.6 × 4.8 = 18.24m²

Area of the 4 faces = 4 × 18.24 = 72.96 m²

Since 1 pack of tiles covers 13.8 m², the number of packs needed to cover 72.96 m² is

72.96/13.8 = 5.29 packs

Since samir can only buy whole packs of these tiles, the number of packs of tiles that he needs to buy would be 6.

If 1 pack costs £716.1, then the total cost of the tiles needed for the 4 faces of this roof is

6 × 716.1 = £4296.6