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.

Q1:

Calculate the area of the shape.

Q2:

Calculate the area of the given figure.

Q3:

Calculate the area of the shaded region.

Q4:

Find the area of the given shape.

Q5:

Below is a square which has had a rectangle measuring 4 cm by 3 cm removed. Find the area of the shaded part.

Q6:

If 𝐸𝐹=4.5cm, find the area of the given figure to the nearest hundredth.

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 cm2.
  • BPerimeter: 46 cm. Area: 100 cm2.
  • CPerimeter: 34 cm. Area: 100 cm2.
  • DPerimeter: 40 cm. Area: 100 cm2.

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

  • A24
  • B18
  • C36
  • D3
  • E72

Q11:

The triangles in the figure are all congruent. Determine the area of the figure.

Q12:

Find the area of the given figure to the nearest hundredth.

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.

Q19:

Determine the area of the given figure.

Q20:

Determine, to the nearest hundredth, the area of the trapezoid 𝐴𝐵𝐶𝐷.

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.

Q25:

Determine, to the nearest tenth, the area of the given figure.

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