Find the area of the L-shaped figure. Its outer rectangle is 9 cm by 10 cm, with a 5 cm by 3 cm corner removed.
Show reasoning / computation: __________________________________________
CCSS 7.G.B.6 · area of figures built from polygons
Composite Area Worksheet Generator
Decompose or subtract familiar shapes instead of memorizing a new formula for every outline. Diagrams are dimension-driven so every labeled length matches the generated calculation.
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Composite Area
Diagrams are part of the problem data, not decorative assets. Student pages keep solution-specific marks hidden; reveal answers or use the separate PDF key to check work.
Problem 1
Problem 2
A rectangle 5 cm by 5 cm has a triangle attached along its 5-cm side. The triangle height is 5 cm. Find the total area.
Show reasoning / computation: __________________________________________
Problem 3
Find the area of the L-shaped figure. Its outer rectangle is 9 cm by 6 cm, with a 4 cm by 3 cm corner removed.
Show reasoning / computation: __________________________________________
Problem 4
Find the area of the L-shaped figure. Its outer rectangle is 10 m by 9 m, with a 6 m by 5 m corner removed.
Show reasoning / computation: __________________________________________
Problem 5
A rectangle 7 cm by 7 cm has a triangle attached along its 7-cm side. The triangle height is 5 cm. Find the total area.
Show reasoning / computation: __________________________________________
Problem 6
A rectangle 5 cm by 5 cm has a triangle attached along its 5-cm side. The triangle height is 4 cm. Find the total area.
Show reasoning / computation: __________________________________________
Problem 7
Find the area of the L-shaped figure. Its outer rectangle is 10 ft by 8 ft, with a 3 ft by 4 ft corner removed.
Show reasoning / computation: __________________________________________
Problem 8
Find the area of the L-shaped figure. Its outer rectangle is 11 ft by 10 ft, with a 6 ft by 3 ft corner removed.
Show reasoning / computation: __________________________________________
Teaching note 1
L-shaped area can be found by subtracting a missing rectangle from an outer rectangle.
Teaching note 2
A rectangle-plus-triangle figure can be decomposed and the two areas added.
Teaching note 3
Area answers require square units.
Continue the 7.G progression
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Frequently asked questions
Do the diagrams match the numbers?
Yes. The SVG/PDF outline is generated from the same dimensions used in the answer.
Are these only L-shapes?
No. Seeds rotate between subtraction-style L-shapes and additive rectangle-plus-triangle figures.