Use the image to answer the question.
An illustration shows a composite structure of a pentagon with two right angles and a square, resembling a house. The base of the pentagon is of length 6. The two sides are perpendicular to the base. The perpendicular right side of the pentagon shares a common side with a square of side 3, with the base of the square continuing out length 3 from the end of the pentagon base of length 6. A solid vertical line is drawn from the top vertex of the pentagon to the midpoint on the base, dividing the shape in half. The height from the top vertex to the end of the perpendicular sides is marked as 3.
A home remodeler has chosen a tile pattern for a floor. How much tile is needed to create the pattern?
(1 point)
To calculate the amount of tile needed to create the pattern, we first need to find the total area of the composite structure.
The pentagon has a base length of 6 and a height of 3, so the area of the pentagon is (1/2) * base * height = (1/2) * 6 * 3 = 9 square units.
The square has a side length of 3, so the area of the square is 3 * 3 = 9 square units.
Therefore, the total area of the composite structure is 9 (pentagon) + 9 (square) = 18 square units.
The remodeler will need 18 square units of tile to create the pattern on the floor.