Shape Slicer Worksheet
Shape Slicer
Decomposing Triangles & Composite Polygons • Grades 6
Name:
Date:
Class:
Score: / 6
Grid Overlay Active: Each grid square equals \(1 \times 1\) unit. Count the grid squares to determine each base, height, and side length before calculating!
\(\text{Area}_{\triangle} = \frac{1}{2} b \times h\)
1 The Drafting Ramp (Right Trapezoid) Split into: 1 Rectangle + 1 Triangle
1 grid square = 1 cm × 1 cm. Count grid units to find lengths.
Decomposition Plan: Shape A Area + Shape B Area
Total Area =
cm²
2 The Tower Arrow (Pentagon) Split into: 1 Rectangle + 1 Roof Triangle
1 grid square = 1 m × 1 m. Count grid units to find lengths.
Decomposition Plan: Roof Triangle Area + Base Rectangle Area
Total Area =
m²
3 The Split Peak (Scalene Triangle) Split by altitude: 2 Right Triangles
1 grid square = 1 ft × 1 ft. Count grid units to find lengths.
Decomposition Plan: Left Triangle Area + Right Triangle Area
Total Area =
ft²
Shape Slicer Worksheet • Page 1 of 2 Turn over for Problems 4–6 →
Shape Slicer • Part 2
Composite Polygons with Precision Grid Overlay
Student Name:
4 The Gem Badge (Hexagon) Split into: 2 Triangles + 1 Rectangle
h = 6 in 10 in 4 in 6 in
1 grid square = 1 in × 1 in. Total length = 20 grid units.
Decomposition Plan: Left △ + Central Rect + Right △
Total Area =
in²
5 The Surveyor's Kite (Quadrilateral) Split by diagonals: 4 Right Triangles
4 yd 10 yd 6 yd 6 yd
1 grid square = 1 yd × 1 yd. Horizontal diagonal is 12 units.
Decomposition Plan: Top Triangle Area + Bottom Triangle Area
Total Area =
yd²
6 The Pavilion Ground (Composite Park) Split into: 2 Rectangles + 1 Right Triangle
5 m 8 m 6 m 4 m 4 m
1 grid square = 1 m × 1 m. Total base is 15 grid units.
Decomposition Plan: Tower Rect + Mid Rect + Ramp Triangle
Total Area =
m²
Architect's Self-Check:
Did you remember to multiply by \(\frac{1}{2}\) for every triangle? Double check that all individual parts add up to the total area.
Shape Slicer • Page 2 of 2
