1. Area = base × height = 5 cm × 3 cm = 15 cm².
2. Area = ½ × base × height = ½ × 7 cm × 4 cm = 14 cm².
3. Area = ½ × BC × AD → 49 = ½ × BC × 7 → BC = (49 × 2) / 7 = 14 cm.
4. Area = base × height → 17.6 = 4 × height → height = 17.6 / 4 = 4.4 cm.
5. Area = length × breadth → 440 = 22 × breadth → breadth = 440 / 22 = 20 cm. Perimeter = 2 × (length + breadth) = 2 × (22 + 20) = 84 cm.
6. Perimeter = 2 × (length + breadth) → 100 = 2 × (35 + breadth) → 50 = 35 + breadth → breadth = 15 cm.
7. Let length = 4x, breadth = 3x. Perimeter = 2 × (4x + 3x) = 14x = 140 → x = 10. Length = 40 cm, breadth = 30 cm. Area = 40 × 30 = 1200 cm².
8. Let length = 9x, breadth = 5x. Perimeter = 2 × (9x + 5x) = 28x = 280 → x = 10. Length = 90 m, breadth = 50 m. Area = 90 × 50 = 4500 m².
Parent Tip: Review the logic above to help your child master the concept of area and perimeter worksheet grade 7.