Topic Review Solutions — Area and Perimeter

Answers

1. Area unit conversion Fluency

   1. 65 000 cm²
   2. 4.8 cm²
   3. 30 000 m²
   4. 0.25 km²
   5. 80 ha
   6. 4.32 m²

2. Area and perimeter of standard quadrilaterals Fluency

   1. A = 91 cm²; P = 40 cm
   2. A = 90.25 m²; P = 38 m
   3. A = 88 m²; P = 40 m
   4. Length = 14 cm; P = 40 cm
   5. Side = 16 m; A = 256 m²

3. Area of rhombuses, kites and trapeziums Understanding

   1. 80 cm²
   2. 27 m²
   3. 77 cm²
   4. 8 cm
   5. 16 m
   6. 48 cm²  (diagonals 8 and 12; ½×8×12)

4. Composite shapes Understanding

   1. 87 m²
   2. 80 cm²
   3. 200 cm²
   4. 48 m  (L-shape: P = 2(14 + 10))
   5. 59.5 m²

5. Real-world problem solving Problem Solving

   1. 1. 768 m²
      2. 552 m²
      3. $174.00  (12 bags × $14.50)
   2. 1. 72 m²
      2. $4 680
      3. 40 m  (trace outer: 12+5+4+3+8+8)
   3. 1. 2 100 m²
      2. 0.21 ha
      3. 185 m  (60 + 45 + 42 + 38)