Perimeter and Area Worksheet for Class 6

Perimeter and Area Worksheet for Class 6

Perimeter and Area Worksheet – Class 6

Name: _____________________
Date: _____________________

A. Perimeter of Shapes

  1. Find the perimeter of a rectangle with length 12 cm and width 8 cm.
  2. A square has a side of 7 cm. Find its perimeter.
  3. Find the perimeter of a triangle with sides 5 cm, 6 cm, and 7 cm.
  4. A rectangular garden has a length of 15 m and width of 10 m. Find its perimeter.
  5. The sides of a pentagon are 6 cm each. Find its perimeter.

B. Area of Shapes

  1. Find the area of a rectangle with length 10 m and width 5 m.
  2. A square has a side of 9 cm. Find its area.
  3. The base of a triangle is 8 m and its height is 6 m. Find its area.
  4. A parallelogram has a base of 12 cm and height 5 cm. Find its area.
  5. A rectangle has a length of 7 m and width of 4 m. Find its area.

C. Word Problems

  1. A rectangular playground is 40 m long and 25 m wide. Find its perimeter and area.
  2. A square garden has an area of 64 m². Find the length of each side and its perimeter.
  3. A triangle has a base of 10 cm and height of 8 cm. Find its area.
  4. A farmer wants to fence a rectangular field 50 m long and 30 m wide. How much fencing material is needed?
  5. The area of a parallelogram is 96 cm², and its base is 12 cm. Find its height.

D. Challenge Questions

  1. A rectangular hall has a perimeter of 60 m. If the length is 18 m, find the width.
  2. A triangle has sides 7 cm, 10 cm, and 5 cm. Find its perimeter.
  3. The area of a rectangle is 120 m². If the length is 15 m, find the width.

Answer

A. Perimeter of Shapes

  1. Rectangle: 12 cm + 8 cm → Perimeter = 2 × (12 + 8) = 2 × 20 = 40 cm
  2. Square: side 7 cm → Perimeter = 4 × 7 = 28 cm
  3. Triangle: 5 + 6 + 7 → Perimeter = 18 cm
  4. Rectangular garden: 15 m + 10 m → Perimeter = 2 × (15 + 10) = 2 × 25 = 50 m
  5. Pentagon: 6 cm each side → Perimeter = 5 × 6 = 30 cm

B. Area of Shapes

  1. Rectangle: 10 × 5 = 50 m²
  2. Square: 9 × 9 = 81 cm²
  3. Triangle: (1/2) × 8 × 6 = 24 → 24 m²
  4. Parallelogram: 12 × 5 = 60 cm²
  5. Rectangle: 7 × 4 = 28 m²

C. Word Problems

  1. Playground 40 × 25:
    • Perimeter = 2 × (40 + 25) = 2 × 65 = 130 m
    • Area = 40 × 25 = 1000 m²
  2. Square garden: Area = 64 → Side = √64 = 8 m → Perimeter = 4 × 8 = 32 m
  3. Triangle: (1/2) × 10 × 8 = 40 cm²
  4. Fencing field 50 × 30: Perimeter = 2 × (50 + 30) = 2 × 80 = 160 m fencing needed
  5. Parallelogram: Area = 96, base = 12 → Height = Area ÷ Base = 96 ÷ 12 = 8 cm

D. Challenge Questions

  1. Rectangle perimeter = 60, length = 18 → 2 × (18 + width) = 60 → 36 + 2 × width = 60 → 2 × width = 24 → Width = 12 m
  2. Triangle sides 7, 10, 5 → Perimeter = 7 + 10 + 5 = 22 cm
  3. Rectangle area = 120, length = 15 → Width = 120 ÷ 15 = 8 m