Question

1. a pattern has 4 triangles to every 12 squares. what is the ratio of triangles to all shapes?

Explanation:

Step1: Find total number of shapes

Total shapes = triangles + squares = \( 4 + 12 = 16 \)

Step2: Calculate the ratio

Ratio of triangles to all shapes = \( \frac{\text{Number of triangles}}{\text{Total number of shapes}} = \frac{4}{16} \)
Simplify the fraction: \( \frac{4\div4}{16\div4} = \frac{1}{4} \)

Answer:

The ratio of triangles to all shapes is \(\frac{1}{4}\) (or 1:4).