Here are the step-by-step solutions for each problem on the worksheet.
Part 1: Area of Triangles
The formula for the area of a triangle is:
Area = $\frac{1}{2} \times \text{base} \times \text{height}$
*(This means you multiply the base by the height, then divide by 2)*
1. Base = $12\text{ cm}$, Height = $3\text{ cm}$
* Calculation: $12 \times 3 = 36$
* Divide by 2: $36 / 2 = 18$
* Answer:
$18\text{ cm}^2$
2. Base = $8.5\text{ in}$, Height = $7\text{ in}$
* Calculation: $8.5 \times 7 = 59.5$
* Divide by 2: $59.5 / 2 = 29.75$
* Answer:
$29.75\text{ in}^2$
3. Base = $9\text{ cm}$, Height = $4\text{ cm}$
* Calculation: $9 \times 4 = 36$
* Divide by 2: $36 / 2 = 18$
* Answer:
$18\text{ cm}^2$
4. Base = $8.2\text{ cm}$, Height = $6.6\text{ cm}$
* Calculation: $8.2 \times 6.6 = 54.12$
* Divide by 2: $54.12 / 2 = 27.06$
* Answer:
$27.06\text{ cm}^2$
5. Base = $8.2\text{ in}$, Height = $4.4\text{ in}$
* Calculation: $8.2 \times 4.4 = 36.08$
* Divide by 2: $36.08 / 2 = 18.04$
* Answer:
$18.04\text{ in}^2$
6. Base = $12\text{ yd}$, Height = $9\text{ yd}$
* Calculation: $12 \times 9 = 108$
* Divide by 2: $108 / 2 = 54$
* Answer:
$54\text{ yd}^2$
---
Part 2: Area of Parallelograms
The formula for the area of a parallelogram is:
Area = $\text{base} \times \text{height}$
7. Base = $8\text{ cm}$, Height = $4\text{ cm}$
* Calculation: $8 \times 4 = 32$
* Answer:
$32\text{ cm}^2$
8. Base = $10\text{ cm}$, Height = $6\text{ cm}$
* Calculation: $10 \times 6 = 60$
* Answer:
$60\text{ cm}^2$
9. Base = $6\text{ cm}$, Height = $3\text{ cm}$
* Calculation: $6 \times 3 = 18$
* Answer:
$18\text{ cm}^2$
10. Base = $16\text{ yd}$, Height = $8\text{ yd}$
* Calculation: $16 \times 8 = 128$
* Answer:
$128\text{ yd}^2$
11. Base = $11\text{ m}$, Height = $9\text{ m}$
* Calculation: $11 \times 9 = 99$
* Answer:
$99\text{ m}^2$
12. Base = $21.4\text{ in}$, Height = $16.6\text{ in}$
* Calculation: $21.4 \times 16.6 = 355.24$
* Answer:
$355.24\text{ in}^2$
Final Answer:
1) 18 cm²
2) 29.75 in²
3) 18 cm²
4) 27.06 cm²
5) 18.04 in²
6) 54 yd²
7) 32 cm²
8) 60 cm²
9) 18 cm²
10) 128 yd²
11) 99 m²
12) 355.24 in²
Parent Tip: Review the logic above to help your child master the concept of parallelogram area worksheet.
