can i have a step by step explanation on how to solve: 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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Question
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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
step by step explanation
To determine how much tile is needed to create a specific pattern, you will need to follow these steps:
1. Obtain the tile pattern dimensions: The first step is to identify the dimensions of the tile pattern. Measure the length and width of one tile in centimeters. Let's assume the length is L cm and the width is W cm.
2. Calculate the area of one tile: To determine the area of a tile, multiply its length (L) by its width (W). This can be expressed as Area = L * W, and the unit of measurement will be square centimeters (cm^2).
3. Measure the total floor area: Measure the dimensions of the floor area where the tile pattern will be placed. Measure the length and width of the entire floor area in centimeters. Let's assume the floor length is FL cm and the floor width is FW cm.
4. Calculate the area of the floor: Multiply the length (FL) by the width (FW) of the floor to determine the area of the floor. This can be expressed as Floor Area = FL * FW, and the unit of measurement will be square centimeters (cm^2).
5. Determine the number of tiles needed: Divide the floor area by the area of one tile to find out how many tiles are required. The formula is Number of Tiles = Floor Area / Area of One Tile. Ensure that your unit of measurement matches (e.g., if the area of one tile is in cm^2, the floor area should also be in cm^2).
Using these steps, you will be able to calculate the amount of tile needed to create a specific pattern for a home remodeler project.