Worksheet: Area of a Composite Figure

In this worksheet, we will practice calculating the area of a composite two-dimensional figure consisting of two or more shapes.

Q1:

What is the area of this shape?

Q2:

Determine the area of the given figure.

Q3:

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

Q4:

Using 3.14 as an estimate for 𝜋 , calculate the area of the given figure.

Q5:

Find the area of the shaded part using 3.14 as an approximation for 𝜋 .

Q6:

Given that 𝐴 𝐵 𝐶 𝐷 and 𝑋 𝐵 𝐶 𝑌 are two parallelograms, and the area of 𝑋 𝐶 𝑌 = 1 6 . 8 1 c m , find the area of 𝐴 𝐵 𝐶 𝐷 .

Q7:

The diagram shows a parallelogram 𝐴 𝐵 𝐶 𝐷 with 𝐴 𝐵 = 6 . 4 1 and 𝐸 𝐹 = 3 . 8 2 . Find the area of the shaded region, giving your answer to two decimal places.

Q8:

In the figure, 𝐴 𝐵 𝐶 𝐷 is a rectangle, and the points 𝐶 , 𝐷 , and 𝐸 are collinear. Given that 𝐵 𝐷 is parallel to 𝐴 𝐸 , find the area of 𝐴 𝐵 𝐷 𝐸 .

Q9:

Calculate the area of the given figure.

Q10:

Find the area of the given figure.

Q11:

Determine the area of the given figure.

Q12:

Find the area of the given figure.

Q13:

Find the area of this figure.

Q14:

Determine the area of the given figure.

Q15:

Determine the area of the given figure.

Q16:

Given that the four triangles in the shown rectangle are congruent, calculate the area of the coloured region.

  • A 1‎ ‎071 in2
  • B 711 in2
  • C 639 in2
  • D 495 in2
  • E 207 in2

Q17:

Determine the area of the given figure.

Q18:

Find the area of this shape.

Q19:

Determine the area of the shown figure.

Q20:

The circle at 𝑂 has radius 34 cm. Chord 𝐴 𝐵 is 60 cm long, 𝐶 is the midpoint of 𝐴 𝐵 , and ray 𝑂 𝐶 meets the circle at 𝐷 . Find the area of 𝐴 𝐷 𝐵 .

  • A 1,020 cm2
  • B 1,080 cm2
  • C 128 cm2
  • D 540 cm2

Q21:

𝐴 𝐵 𝐶 is an isosceles triangle inscribed in a circle where 𝐴 𝐵 = 𝐴 𝐶 = 3 7 cm and 𝐵 𝐶 = 3 8 c m . Find the area of the minor segment with chord 𝐵 𝐶 giving the answer to the nearest square centimetre.

Q22:

Triangle 𝐴 𝐵 𝐶 is right-angled at 𝐵 . Given that 𝑚 𝐴 = 3 0 , and 𝐴 𝐵 = 1 7 . 7 . Find to the nearest hundredth the area of the circle that lies on 𝐴 and 𝐵 and is tangent to 𝐴 𝐶 at 𝐴 .

Q23:

Two circles intersect each other where the chord connecting the points of intersection is a diameter of one of the circles. The length of the diameter is 8 cm which is the same length of the radius of the other circle. Find the common area between the two circles giving the answer to two decimal places.

Q24:

The picture shows the design of a logo which is formed from two semicircles with a common center.

Work out the perimeter of the logo, giving your answer in terms of 𝜋 .

  • A 1 6 𝜋 + 8
  • B 8 𝜋 1 6
  • C 1 6 𝜋 8
  • D 8 𝜋 + 4
  • E 1 6 𝜋

Work out the area of the logo, giving your answer in terms of 𝜋 .

  • A 1 7 𝜋
  • B 1 0 𝜋
  • C 1 1 𝜋
  • D 1 3 𝜋
  • E 7 𝜋

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.