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6. the following tile floor pattern is made of 36 square tiles. the til…

Question

  1. the following tile floor pattern is made of 36 square tiles. the tiles form a rectangle. the length of the long side of the rectangle is 42.75 inches. which is the side length, in inches, of one tile? (1 point) 1.25 4.25 4.75 10.75

Explanation:

Step1: Count the number of tiles along the long side

From the figure, the number of tiles along the long side is 9.

Step2: Calculate the side - length of one tile

Let the side - length of one tile be \(x\). We know that the length of the long side of the rectangle is \(42.75\) inches and the number of tiles along the long side \(n = 9\). Using the formula \(n\times x=\text{length of the long side}\), we have \(x=\frac{42.75}{9}\).

$$x = 4.75$$

Answer:

4.75