# 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.

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 , 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 cm2.
• B Perimeter: 100 cm. Area: 46 cm2.
• C Perimeter: 34 cm. Area: 100 cm2.
• D Perimeter: 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 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.

• A120 m2
• B144 m2
• C288 m2
• D270 m2
• E180 m2

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 m2
• BThe area of the grass section is 160 m2.
• CThe area of the grass section is 56 m2
• DThe area of the grass section is 28 m2
• EThe area of the grass section is 180 m2

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.