Area Calculations
1. Problem 3 shows a right triangle with base 8 cm and height 3 cm inside it.
Calculate the area using the formula for the area of a triangle:
$$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$
Area $= \frac{1}{2} \times 8 \times 3 = 12$ cm²
2. Problem 4 shows a trapezoid with parallel sides 11 cm and 10 cm, height 3 cm.
Use the trapezoid area formula:
$$\text{Area} = \frac{1}{2} \times (\text{base}_1 + \text{base}_2) \times \text{height}$$
Area $= \frac{1}{2} \times (11 + 10) \times 3 = \frac{1}{2} \times 21 \times 3 = 31.5$ cm²
3. Problem 5 is a triangle with base 8 cm and height 3 cm.
Area $= \frac{1}{2} \times 8 \times 3 = 12$ cm²
4. Problem 6 is a rectangle with length 9 cm and width 7 cm.
Area $= 9 \times 7 = 63$ cm²
5. Problem 7 is an isosceles triangle with base 12 cm but height not given, so area cannot be computed without height.
6. Problem 8 is a rectangle with length 11 cm and width 5 cm.
Area $= 11 \times 5 = 55$ cm²
Final answers:
3. Area = 12 cm²
4. Area = 31.5 cm²
5. Area = 12 cm²
6. Area = 63 cm²
7. Area = unknown (height missing)
8. Area = 55 cm²