Area of Triangles — Solutions

1. Calculate the Area

   1. 30 cm² ▶ View Solution
   2. 36 m² ▶ View Solution
   3. 70 cm² ▶ View Solution
   4. 16 m² ▶ View Solution
   5. 60 mm² ▶ View Solution

2. Right-Angled Triangles

   1. 24 cm² ▶ View Solution
   2. 30 m² ▶ View Solution
   3. 6 cm² ▶ View Solution
   4. 40.5 m² ▶ View Solution
   5. 35 mm² ▶ View Solution

3. Find the Missing Dimension

   1. h = 6 cm ▶ View Solution
   2. b = 10 m ▶ View Solution
   3. h = 7 cm ▶ View Solution
   4. b = 12 mm ▶ View Solution
   5. h = 7 m ▶ View Solution

4. Triangles and Parallelograms

   1. 42 cm² ▶ View Solution
   2. 40 cm² each ▶ View Solution
   3. 24.5 cm² each ▶ View Solution
   4. A diagonal cuts a parallelogram into two congruent triangles; each has exactly half the area of the parallelogram with the same base and height ▶ View Solution

5. Mixed Units

   1. 12 cm² ▶ View Solution
   2. 0.6 m² ▶ View Solution
   3. 3.75 m² ▶ View Solution
   4. 450 mm² ▶ View Solution

6. Problem Solving

   1. 20 m² ▶ View Solution
   2. 27 m² ▶ View Solution
   3. $7.20 ▶ View Solution
   4. Area = 150 m²; total fencing cost = $480 ▶ View Solution
   5. 5 m ▶ View Solution

7. More Calculate the Area

   1. 63 cm² ▶ View Solution
   2. 30 m² ▶ View Solution
   3. 63 mm² ▶ View Solution
   4. 8 cm² ▶ View Solution
   5. 55 m² ▶ View Solution

8. Spot the Error

   1. Error: used A = b × h instead of A = ½bh; correct answer: 30 cm² ▶ View Solution
   2. Error: used A = b × h instead of A = ½bh; correct answer: 20 cm² ▶ View Solution
   3. Error: added base and height instead of multiplying; correct answer: 18 m² ▶ View Solution
   4. Error: added base and height then halved instead of multiplying then halving; correct answer: 21 mm² ▶ View Solution

9. Comparing Triangle Areas

   1. Both equal 24 cm² — same area ▶ View Solution
   2. Triangle A: h = 6 cm; Triangle B: b = 10 cm ▶ View Solution
   3. Area doubles ▶ View Solution
   4. Area increases by a factor of 4 ▶ View Solution

10. Extended Problem Solving

    1. $21 600 ▶ View Solution
    2. Cross-sectional area = 14 m²; volume = 168 m³ ▶ View Solution
    3. 300 m² each; total = 600 m² ▶ View Solution
    4. 30 cm² ▶ View Solution