A home remodeler has chosen a tile for a floor. How much tile is needed to create the pattern. Shape is a house base is 6 roof is 3. Attached square on the right is 3x3

1 answer

To calculate how much tile is needed to create the pattern, we first need to calculate the total area of each shape: the house base, the roof, and the attached square.

House base:
Length = 6 units
Width = 6 units
Area = Length x Width = 6 x 6 = 36 square units

Roof:
Base of triangle = 6 units
Height of triangle = 3 units
Area = 0.5 x Base x Height = 0.5 x 6 x 3 = 9 square units

Attached square:
Side length = 3 units
Area = Side length x Side length = 3 x 3 = 9 square units

Total area of all shapes = Area of house base + Area of roof + Area of attached square
Total area = 36 + 9 + 9 = 54 square units

Therefore, the home remodeler will need 54 square units of tile to create the pattern.