Area and Perimeter of Rectangle - Free Printable

Let’s solve each rectangle one by one. We’ll use:

- Area = length × width
- Perimeter = 2 × (length + width)

We’ll be careful with units and fractions.

---

Problem 1:

Rectangle: 6 cm by 1½ cm

→ Area = 6 × 1½
1½ = 3/2, so 6 × 3/2 = 18/2 = 9 cm²

→ Perimeter = 2 × (6 + 1½) = 2 × 7½ = 2 × 15/2 = 30/2 = 15 cm

✔ Check: 6 + 6 + 1.5 + 1.5 = 15 → correct.

---

Problem 2:

Rectangle: 5½ m by 3 m

→ Area = 5½ × 3
5½ = 11/2, so 11/2 × 3 = 33/2 = 16.5 m² or 16½ m²

→ Perimeter = 2 × (5½ + 3) = 2 × 8½ = 2 × 17/2 = 34/2 = 17 m

✔ Check: 5.5 + 5.5 + 3 + 3 = 17 → correct.

---

Problem 3:

Rectangle: 2½ ft by 5 ft
⚠️ Wait — the answer blanks say “m²” and “m”, but the sides are in feet! That must be a typo in the worksheet. Since the measurements are in feet, we should give answers in ft² and ft, not meters. I’ll assume it’s a mistake and use feet.

→ Area = 2½ × 5 = (5/2) × 5 = 25/2 = 12.5 ft² or 12½ ft²

→ Perimeter = 2 × (2½ + 5) = 2 × 7½ = 2 × 15/2 = 30/2 = 15 ft

✔ Check: 2.5 + 2.5 + 5 + 5 = 15 → correct.

*(Note: If the worksheet really wants meters, we’d need to convert — but since no conversion factor is given, and all other problems match units, this is likely a printing error. We’ll go with feet.)*

---

Problem 4:

Rectangle: 20 cm by 7 cm

→ Area = 20 × 7 = 140 cm²

→ Perimeter = 2 × (20 + 7) = 2 × 27 = 54 cm

✔ Check: 20+20+7+7=54 → correct.

---

Problem 5:

Rectangle: 8 cm by 3½ cm

→ Area = 8 × 3½ = 8 × 7/2 = 56/2 = 28 cm²

→ Perimeter = 2 × (8 + 3½) = 2 × 11½ = 2 × 23/2 = 46/2 = 23 cm

✔ Check: 8+8+3.5+3.5=23 → correct.

---

Problem 6:

Rectangle: 30 m by 20 m

→ Area = 30 × 20 = 600 m²

→ Perimeter = 2 × (30 + 20) = 2 × 50 = 100 m

✔ Check: 30+30+20+20=100 → correct.

---

Final Answer:

1) Area = 9 cm², Perimeter = 15 cm
2) Area = 16½ m², Perimeter = 17 m
3) Area = 12½ ft², Perimeter = 15 ft *(note: unit mismatch in worksheet — corrected to feet)*
4) Area = 140 cm², Perimeter = 54 cm
5) Area = 28 cm², Perimeter = 23 cm
6) Area = 600 m², Perimeter = 100 m