Counting Sides in a Pattern of Shapes

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Counting and Patterns

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Guided solution

Counting Sides in a Pattern of Shapes

To solve this problem, we need to understand the repeating pattern of shapes and calculate the total number of sides for 8 shapes.

Math

Counting and Patterns

Difficulty 3/5

patterns

geometry

counting

Problem statement

Chase has a box of triangles and squares. He decides to lay them out in a line while repeating the pattern: '1 triangle, 1 triangle, 1 square'. When Chase has laid out 8 shapes on the table, how many sides are present across the shapes that have been laid out?

A) 26

B) 28

C) 32

D) 35

E) 36

Why this level?

The problem requires understanding a repeating pattern and calculating the total number of sides, which involves both pattern recognition and basic multiplication.

Difficulty: 3/5 Medium★★★★★

Final answer

B) 28

The pattern '1 triangle, 1 triangle, 1 square' repeats every 3 shapes. Each triangle has 3 sides and each square has 4 sides. For 8 shapes, the pattern repeats twice with 2 extra triangles, resulting in a total of 28 sides.

Counting Sides in a Pattern of Shapes

Counting Sides in a Pattern of Shapes

Problem statement

Why this level?

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