Question

4.) The area of a square tile in Beth's bathroom is 4 in. The sides of the square tiles in her kitchen are similar to the bathroom tiles, but with a scale factor of 1:6. What is the area of one kitchen tile? Draw and label the two tiles Bathroom Tile Kitchen Tile I Area Area Tempe Elementary School District

Answer 1

Step 1: Let's review the information given to us to answer the question correctly:

Area of a square tile in Beth's bathroom = 4 square inches

Scale factor of the kitchen tiles = 1:6

Step 2: Let's draw both tiles, as follows:

Step 3: Using the scale factor, we can calculate the area of a kitchen tile:

Lenght of a bath tile side = 2 inches

Then, the length of a kitchen tile is 2 * 6 = 12 inches and the area of the kitchen tile would be : 12 * 12 = 144 square inches

Step 4: The lenght of a side of the bathroom tile is 2 inches and the area is 2 * 2 = 4 square inches

The length of a kichen tile is 12 inches and the area is 12 * 12 = 144 square inches.