Question

find the ratio of triangles to total shapes in the diagram below. unsimplified ratio of triangles to total shapes:

Explanation:

Step1: Count number of triangles

There are 4 rows with 4 triangles in each row, so $4\times4 = 16$ triangles.

Step2: Count number of squares

There are 4 rows with 5 squares in each row, so $4\times5=20$ squares.

Step3: Calculate total number of shapes

Total shapes = triangles + squares = $16 + 20=36$.

Step4: Form the ratio

The ratio of triangles to total shapes is $16:36$.

Answer:

$16:36$