1 (a) Area of a rectangle = l × w= 8 × 5 = 40 cm2 (b) Area of triangle = 0.5 × base × height= 0.5 × 6 × 4 = 12 cm2 (c) Area of trapezium = 0.5 × sum of parallel sides × height= 0.5 × (7 + 13) × 6 = 60 cm2 (d) Area of triangle = 0.5 × base × height= 0.5 × 6 × 8 = 24 mm2

2. (a) Area of parallelogram = base × height
= 7 × 8 = 56 cm2

(b) Area of parallelogram = base × height
= 10 × 7 = 70 cm2

3. (a) Perimeter = sum of all sides
= 4 + 3 + 4 + 3 = 14 cm

(b) Perimeter = sum of all sides
= 4 × 5 = 20 m

(c) Perimeter = sum of all sides
= 8 + 9 + 15 = 32 cm

(d) Perimeter = sum of all sides
= 8 + 5 + 3 + 7 + 5 + 12 = 40 m

4. (a) Circumference = πd
= π × 8 = 25.12 m
Area = πr
π × 16 = 50.24 m2

(b) Circumference = πd
π × 16 = 50.24 m
Area = πr
π × 64 = 200.96 m2

5. (a) Area of field = length × width
= 110 × 70 = 7700 m2

(b) 1 hectare = 10 000 m2
7700 m2 = 7700/10000 = 0.77 ha

6. (a) 1010 cm2 (b) 108 cm2 (c) 104 cm2

 7. (a) Area of shape = 10 × 2 + 8 × 2= 36 m2 (b) Area of shape = 12 × 10 − 6 × 4= 96 cm2 8. (a) Area of shape = 12 × 6 − 4 × 5= 52 cm2 (b) Area of shape = π × 62 − π × 42= 36π − 16π= 20π= 62.8 cm2