To solve this worksheet, we need to
find the area of each triangle using the formula:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$
We'll go through each triangle one by one. The key is identifying the
base and the
height, which must be
perpendicular to each other (indicated by the right angle symbol or dotted line).
---
1.
- Base = 6 m
- Height = 10 m
$$
A = \frac{1}{2} \times 6 \times 10 = 30 \text{ m}^2
$$
✔ Answer: 30 m²
---
2.
- Base = 10 ft
- Height = 10 ft
$$
A = \frac{1}{2} \times 10 \times 10 = 50 \text{ ft}^2
$$
✔ Answer: 50 ft²
---
3.
- Base = 12 cm
- Height = 5 cm
$$
A = \frac{1}{2} \times 12 \times 5 = 30 \text{ cm}^2
$$
✔ Answer: 30 cm²
---
4.
- Base = 16 mi
- Height = 5 mi
$$
A = \frac{1}{2} \times 16 \times 5 = 40 \text{ mi}^2
$$
✔ Answer: 40 mi²
---
5.
- Base = 9 km
- Height = 8 km
$$
A = \frac{1}{2} \times 9 \times 8 = 36 \text{ km}^2
$$
✔ Answer: 36 km²
---
6.
- Base = 13 yd
- Height = 6 yd
$$
A = \frac{1}{2} \times 13 \times 6 = 39 \text{ yd}^2
$$
✔ Answer: 39 yd²
---
7.
- This is a right triangle with legs 9 in and 12 in.
- We can use either leg as base or height.
- Let’s take base = 12 in, height = 9 in
$$
A = \frac{1}{2} \times 12 \times 9 = 54 \text{ in}^2
$$
✔ Answer: 54 in²
---
8.
- Base = 14 m
- Height = 7 m
$$
A = \frac{1}{2} \times 14 \times 7 = 49 \text{ m}^2
$$
✔ Answer: 49 m²
---
9.
- Base = 6 mm
- Height = 6 mm
$$
A = \frac{1}{2} \times 6 \times 6 = 18 \text{ mm}^2
$$
✔ Answer: 18 mm²
---
10.
- Base = 20 in
- Height = 15 in
$$
A = \frac{1}{2} \times 20 \times 15 = 150 \text{ in}^2
$$
✔ Answer: 150 in²
---
11.
- Base = 24 ft
- Height = 16 ft
$$
A = \frac{1}{2} \times 24 \times 16 = 192 \text{ ft}^2
$$
✔ Answer: 192 ft²
---
12.
- Base = 12 yd
- Height = 7 yd
$$
A = \frac{1}{2} \times 12 \times 7 = 42 \text{ yd}^2
$$
✔ Answer: 42 yd²
---
✔ Final Answers:
| Problem | Area |
|--------|------|
| 1 | 30 m² |
| 2 | 50 ft² |
| 3 | 30 cm² |
| 4 | 40 mi² |
| 5 | 36 km² |
| 6 | 39 yd² |
| 7 | 54 in² |
| 8 | 49 m² |
| 9 | 18 mm² |
| 10 | 150 in² |
| 11 | 192 ft² |
| 12 | 42 yd² |
Let me know if you'd like these filled into the worksheet format!
Parent Tip: Review the logic above to help your child master the concept of area of triangles worksheet.
