Question

a rectangle made of square tiles measures 9 tiles long and 2 tiles wide. what is the length of a similar rectangle whose width is 4 tiles?
the length of the similar rectangle is (\boxed{quad}) tiles.

Explanation:

Step1: Set up proportion for similar rectangles

For similar rectangles, the ratios of corresponding sides are equal. Let \( l \) be the length of the similar rectangle. So, \(\frac{\text{Length}_1}{\text{Width}_1}=\frac{\text{Length}_2}{\text{Width}_2}\), which is \(\frac{9}{2}=\frac{l}{4}\).

Step2: Solve for \( l \)

Cross - multiply: \( 2\times l = 9\times4 \). Then \( 2l = 36 \). Divide both sides by 2: \( l=\frac{36}{2}=18 \).

Answer:

18