Let’s go step by step to find the area and perimeter for each rectangle.
Remember:
-
Area = length × width
-
Perimeter = 2 × (length + width)
We’ll do each problem one at a time.
---
Problem 1:
Rectangle with sides 9 ft and 6 ft.
→ Area = 9 × 6 =
54 sq ft
→ Perimeter = 2 × (9 + 6) = 2 × 15 =
30 ft
✔ Checked: 9×6=54, 2×(9+6)=30 — correct.
---
Problem 2:
Rectangle with sides 3 ft and 11 ft.
→ Area = 3 × 11 =
33 sq ft
→ Perimeter = 2 × (3 + 11) = 2 × 14 =
28 ft
✔ Checked: 3×11=33, 2×14=28 — correct.
---
Problem 3:
Rectangle with sides 7 cm and 13 cm.
→ Area = 7 × 13 =
91 sq cm
→ Perimeter = 2 × (7 + 13) = 2 × 20 =
40 cm
✔ Checked: 7×13=91, 2×20=40 — correct.
---
Problem 4:
Rectangle with sides 22 in and 19 in.
→ Area = 22 × 19 → Let’s calculate:
22 × 20 = 440, minus 22 =
418 sq in
→ Perimeter = 2 × (22 + 19) = 2 × 41 =
82 in
✔ Checked: 22×19=418, 2×41=82 — correct.
---
Problem 5:
Rectangle with sides 16 m and 25 m.
→ Area = 16 × 25 → 16×25 is same as 4×4×25 = 4×100 =
400 sq m
→ Perimeter = 2 × (16 + 25) = 2 × 41 =
82 m
✔ Checked: 16×25=400, 2×41=82 — correct.
---
Problem 6:
Rectangle with sides 10 yd and 2 yd.
→ Area = 10 × 2 =
20 sq yd
→ Perimeter = 2 × (10 + 2) = 2 × 12 =
24 yd
✔ Checked: 10×2=20, 2×12=24 — correct.
---
Problem 7:
Rectangle with sides 1 mm and 6 mm.
→ Area = 1 × 6 =
6 sq mm
→ Perimeter = 2 × (1 + 6) = 2 × 7 =
14 mm
✔ Checked: 1×6=6, 2×7=14 — correct.
---
Problem 8:
Rectangle with sides 21 km and 44 km.
→ Area = 21 × 44 → Break it down:
20×44 = 880, plus 1×44 = 44 → 880 + 44 =
924 sq km
→ Perimeter = 2 × (21 + 44) = 2 × 65 =
130 km
✔ Checked: 21×44=924, 2×65=130 — correct.
---
Final Answer:
1. Area = 54 sq ft, Perimeter = 30 ft
2. Area = 33 sq ft, Perimeter = 28 ft
3. Area = 91 sq cm, Perimeter = 40 cm
4. Area = 418 sq in, Perimeter = 82 in
5. Area = 400 sq m, Perimeter = 82 m
6. Area = 20 sq yd, Perimeter = 24 yd
7. Area = 6 sq mm, Perimeter = 14 mm
8. Area = 924 sq km, Perimeter = 130 km
Parent Tip: Review the logic above to help your child master the concept of area and perimeter worksheet 6th grade.
