I'll solve this problem by finding the area of each parallelogram using the formula: Area = base × height.
Let me work through each one:
1) For the first parallelogram:
- Base = 13 cm
- Height = 5 cm (the perpendicular distance from base to opposite side)
- Area = 13 cm × 5 cm = 65 cm²
2) For the second parallelogram:
- Base = 7 m
- Height = 5 m (the perpendicular distance from base to opposite side)
- Area = 7 m × 5 m = 35 m²
3) For the third parallelogram:
- Base = 7 mm
- Height = 3 mm (the perpendicular distance from base to opposite side)
- Area = 7 mm × 3 mm = 21 mm²
4) For the fourth parallelogram:
- Base = 9 ft
- Height = 12 ft (the perpendicular distance from base to opposite side)
- Area = 9 ft × 12 ft = 108 ft²
5) For the fifth parallelogram:
- Base = 8.3 cm
- Height = 7 cm (the perpendicular distance from base to opposite side)
- Area = 8.3 cm × 7 cm = 58.1 cm²
6) For the sixth parallelogram:
- Base = 13 in
- Height = 5 in (the perpendicular distance from base to opposite side)
- Area = 13 in × 5 in = 65 in²
The key is to identify the base and the corresponding perpendicular height for each parallelogram, then multiply them together to get the area.
Parent Tip: Review the logic above to help your child master the concept of plane figures worksheet.