# Lesson Worksheet: Areas of Composite Polygons Mathematics • 6th Grade

In this worksheet, we will practice finding areas of composite polygons including shapes made of squares, rectangles, triangles, and trapezoids.

**Q7: **

Below is a rectangle which has had a square of length 2 cm cut from it. Find the perimeter and area of the remaining shape.

- APerimeter: 100 cm. Area: 46 cm
^{2}. - BPerimeter: 46 cm. Area: 100 cm
^{2}. - CPerimeter: 34 cm. Area: 100 cm
^{2}. - DPerimeter: 40
cm. Area: 100 cm
^{2}.

**Q8: **

David wants to lay a new carpet in his bedroom. Determine the total area that needs to be carpeted, given that the shown figure is the floor plan.

**Q9: **

Find the area of this shape.

**Q10: **

Given that is a square of side 6, what is the shaded area?

- A24
- B18
- C36
- D3
- E72

**Q13: **

Find the area of the given figure.

**Q14: **

Work out the area of the composite shape.

**Q15: **

Work out the area of the composite shape.

**Q16: **

Work out the area of the shape.

**Q17: **

Work out the area of the composite shape.

**Q18: **

Calculate the area of the gray part.

**Q21: **

Determine the area of the given figure.

**Q22: **

Calculate the area of this figure.

**Q23: **

Find the area of this figure.

**Q24: **

Find the area of the shaded region.