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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 4 5 π‘₯ + 1 5 2
  • B 1 5 π‘₯ + 4 5 π‘₯ 2
  • C 1 5 π‘₯ + 4 5 2
  • D 4 5 π‘₯ + 1 5 π‘₯ 2
  • E 9 0 π‘₯ + 3 0 π‘₯ 2

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 π‘₯ + 3 4 π‘₯ 2
  • B π‘₯ 2 + 1 7 π‘₯ 2
  • C π‘₯ 2 + 3 4 π‘₯ 2
  • D π‘₯ + 1 7 π‘₯ 2
  • E 5 1 π‘₯

Q16:

Given that 𝐴 𝐡 𝐢 𝐷 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 𝐸 𝐹 = 4 . 5 c m , 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.