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

**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 , calculate the area of the given figure.

**Q5: **

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

**Q6: **

Given that and are two parallelograms, and the area of , find the area of .

**Q8: **

In the figure, is a rectangle, and the points , , and are collinear. Given that is parallel to , find the area of .

**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 in
^{2} - B
711 in
^{2} - C
639 in
^{2} - D
495 in
^{2} - E
207
in
^{2}

**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 has radius 34 cm. Chord is 60 cm long, is the midpoint of , and ray meets the circle at . Find the area of .

- A
1,020 cm
^{2} - B
1,080 cm
^{2} - C
128
cm
^{2} - D
540 cm
^{2}

**Q21: **

is an isosceles triangle inscribed in a circle where cm and . Find the area of the minor segment with chord giving the answer to the nearest square centimetre.

**Q22: **

Triangle is right-angled at . Given that , and . Find to the nearest hundredth the area of the circle that lies on and and is tangent to at .

**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 .

- A
- B
- C
- D
- E

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

- A
- B
- C
- D
- E