Question

using similar figures to solve problems - item 35649
malik created a model of a rectangular flag.
his model is 10 inches long and the actual flag is 25 inches long.
how many times wider is the actual flag than malik’s model?
malik’s model 10 inches
actual flag 25 inches
the actual flag is times wider than malik’s model.

Explanation:

Step1: Identify the scale factor for length

Since the figures are similar, the scale factor for length is the ratio of the actual length to the model length. The model length is 10 inches and the actual length is 25 inches. So the scale factor \( k=\frac{25}{10} \).

Step2: Simplify the scale factor

Simplify \( \frac{25}{10}=\frac{5}{2} = 2.5\). For similar rectangles, the scale factor for width is the same as the scale factor for length. So the actual flag is 2.5 times wider than the model.

Answer:

2.5