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)
square centimeters
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To calculate the total area of tile needed, we need to find the total area of the two shapes - the pentagon and the square.
The area of the pentagon can be calculated using the formula: Area = 0.5 * base * height, where the base is 6 and the height is 3. So, the area of the pentagon is 0.5 * 6 * 3 = 9 square units.
The area of the square is simply side * side, which is 3 * 3 = 9 square units.
Therefore, the total area of tile needed for the pattern is 9 + 9 = 18 square units.
wrong
I apologize for the mistake. Let's correct the calculation.
The area of the pentagon can be calculated using the formula: Area = 0.5 * base * height, where the base is 6 and the height is 3. So, the area of the pentagon is 0.5 * 6 * 3 = 9 square units.
The area of the square is simply side * side, which is 3 * 3 = 9 square units.
Therefore, the total area of tile needed for the pattern is 9 + 9 = 18 square units.