Question

ratio of squares to triangles (without simplifying): just count them all

Explanation:

Step1: Count the number of squares

Looking at the diagram, the first row has 4 squares. So the number of squares, \( S = 4 \).

Step2: Count the number of triangles

The triangles are in rows from the second to the fifth. Let's count:

• Second row: 4 triangles
• Third row: 4 triangles
• Fourth row: 4 triangles
• Fifth row: 4 triangles

Total number of triangles, \( T=4 + 4+4 + 4=16 \).

Step3: Find the ratio of squares to triangles

The ratio of squares to triangles is \( S:T = 4:16 \).

Answer:

\( 4:16 \)