# Worksheet: Areas of Composite Polygons

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.

**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 , 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.

- A
Perimeter: 46 cm. Area: 100 cm
^{2}. - B
Perimeter: 100 cm. Area: 46 cm
^{2}. - C
Perimeter: 34 cm. Area: 100 cm
^{2}. - D
Perimeter: 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

**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: **

James is laying a new path all the way around the edge of his yard. Look at the diagram to figure out the area of the grass section.

- AThe area of the grass section is
80 m
^{2} - BThe area of the grass section is
160 m
^{2}. - CThe area of the grass section is
56 m
^{2} - DThe area of the grass section is
28 m
^{2} - EThe area of the grass section is
180 m
^{2}

**Q16: **

Work out the area of the composite shape.

**Q17: **

A school is laying a new floor in the cafeteria. The eating area measures 42 feet by 9 feet and the cooking area measures 12 feet by 7 feet. How much flooring will they have to order? (Your answer should be given in square feet).

**Q18: **

Work out the area of the shape.

**Q19: **

Work out the area of the composite shape.

**Q20: **

Calculate the area of the gray part.

**Q21: **

Determine the area of the given figure.

**Q22: **

Determine, to the nearest hundredth, the area of the trapezium .

**Q23: **

Determine the area of the given figure.

**Q24: **

Calculate the area of this figure.

**Q25: **

Find the area of this figure.