I'll solve the problem by calculating the area of each trapezoid using the formula provided: A = ½ × height × (base a + base b).
Let me go through each trapezoid one by one:
First trapezoid:
- Base a = 4 mm
- Base b = 7 mm
- Height = 2 mm
- Area = ½ × 2 mm × (4 mm + 7 mm) = 1 mm × 11 mm = 11 mm²
Second trapezoid:
- Base a = 5 m
- Base b = 9 m
- Height = 6 m
- Area = ½ × 6 m × (5 m + 9 m) = 3 m × 14 m = 42 m²
Third trapezoid:
- Base a = 2 km
- Base b = 1 km
- Height = 3 km
- Area = ½ × 3 km × (2 km + 1 km) = 1.5 km × 3 km = 4.5 km²
Fourth trapezoid:
- Base a = 6 cm
- Base b = 8 cm
- Height = 5 cm
- Area = ½ × 5 cm × (6 cm + 8 cm) = 2.5 cm × 14 cm = 35 cm²
The areas of the trapezoids are:
1. 11 mm²
2. 42 m²
3. 4.5 km²
4. 35 cm²
Parent Tip: Review the logic above to help your child master the concept of find the area of a trapezoid worksheet.