Use Area to Solve Problems Practice
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Question
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 find the area of the entire shape, we need to find the area of the pentagon and the square separately and then add them together.
The area of a pentagon can be found using the formula: Area = 1/2 * base * height
Area of the pentagon = 1/2 * 6 * 3 = 9 square units
The area of a square is given by: Area = side * side
Area of the square = 3 * 3 = 9 square units
Therefore, the total area of the shape is 9 + 9 = 18 square units. The home remodeler will need 18 units of tile to create the pattern.