# Worksheet: Area of Composite Shapes including Triangles and Rectangles

Q1:

Work out the area of the composite shape.

Q2:

Find the area of the shaded region.

• A
• B
• C
• D
• E

Q3:

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 56 m2
• BThe area of the grass section is 28 m2
• CThe area of the grass section is 80 m2
• DThe area of the grass section is 160 m2.
• EThe area of the grass section is 180 m2

Q4:

Work out the area of the composite shape.

Q5:

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).

Q6:

Work out the area of the shape.

Q7:

Find the area of this shape.

Q8:

Work out the area of the composite shape.

Q9:

Calculate the area of the gray part.

• A 4 992 cm2
• B 188 cm2
• C 576 cm2
• D 4 416 cm2

Q10:

Calculate the area of the shape.

Q11:

Calculate the area of the shape.

Q12:

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: 34 cm. Area: 100 cm2.
• B Perimeter: 100 cm. Area: 46 cm2.
• C Perimeter: 40 cm. Area: 100 cm2.
• D Perimeter: 46 cm. Area: 100 cm2.

Q13:

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

• A 14 792 m2
• B 7 396 m2
• C 13 866 m2
• D 9 245 m2
• E 6 162 m2

Q14:

Determine the area of the given figure.

Q15:

Write the algebraic expression that represents the area of the given figure in square centimeters.

• A
• B
• C
• D
• E

Q16:

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

Q17:

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.

Q18:

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

• A
2 556.51
cm2
• B 678.50 cm2
• C
1 357.00
cm2
• D
1 278.25
cm2

Q19:

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

Q20:

Calculate the area of the given figure.

Q21:

Find the area of the given figure.

Q22:

If , find the area of the given figure to the nearest hundredth.

Q23:

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

Q24:

Find the area of the given shape.

Q25:

Calculate the area of the shaded region.