Answer :
Answer:
Therefore, the number of bundles to be bought is 22 bundles
Step-by-step explanation:
Here we have;
Dimensions of roof
Square pyramid = 4 triangular sides
Base length of triangle = Length of gutter on one side = 18 ft
Height of triangle = Length from the gutter on one side to the top of the roof = 15 ft
∴ Area of one of the four triangles = 0.5 × Base × Height = 0.5 × 15 × 18 = 135 ft²
Total area of four sides of the pyramid = 4 × Area of one of the four triangles
∴ Total area of four sides of the pyramid = 4 × 135 ft² = 540 ft²
Area covered by one bundle of shingle = 25 ft²/bundle
Therefore number of bundles of shingles required = [tex]\frac{Total \, area \ of \, four \ sides \ of \ the \ pyramid}{Area \ covered \ by \ one \ bundle \ of \ shingle} = \frac{540 \ ft^2}{25 \ ft^2/bundle} = 21.6 \ bundles \approx 22 \ bundles[/tex]
Therefore, the number of bundles to be bought = 22 bundles.