Question

1. a rectangle made of square tiles measures 7 tiles long and 3 tiles wide. what is the length of a similar rectangle whose width is 9 tiles? (explore activity) explain whether the shapes are similar. (examples 1 and 2) 2. 3. essential question check-in 4. describe how to use ratios to determine whether two shapes are similar.

Explanation:

Step1: Set up the proportion

Since the rectangles are similar, the ratios of their corresponding sides are equal. Let \(x\) be the length of the second rectangle. The proportion is \(\frac{7}{3}=\frac{x}{9}\).

Step2: Solve the proportion

Cross - multiply: \(3x = 7\times9\). Then \(3x=63\). Divide both sides by 3: \(x=\frac{63}{3}\).

Answer:

21 tiles