Area and Perimeter of 2D Shapes Worksheet
This worksheet will help you practice calculating the area and perimeter of various two-dimensional shapes.
Instructions:
- For each shape, identify the correct formula to use.
- Calculate the area and perimeter of each shape.
- Show your working.
Shapes:
1. Square
- Side Length: 5 cm
- Area:
- Perimeter:
2. Rectangle
- Length: 8 cm
- Width: 3 cm
- Area:
- Perimeter:
3. Triangle
- Base: 10 cm
- Height: 6 cm
- Area:
- Perimeter:
4. Circle
- Radius: 7 cm
- Area:
- Perimeter:
5. Parallelogram
- Base: 12 cm
- Height: 4 cm
- Area:
- Perimeter:
6. Trapezoid
- Base 1: 9 cm
- Base 2: 5 cm
- Height: 3 cm
- Area:
- Perimeter:
Formulae:
Square:
- Area: Side length x Side length
- Perimeter: 4 x Side length
Rectangle:
- Area: Length x Width
- Perimeter: 2 x (Length + Width)
Triangle:
- Area: (Base x Height) / 2
- Perimeter: Sum of all sides
Circle:
- Area: π x Radius² (where π ≈ 3.14)
- Perimeter (Circumference): 2 x π x Radius
Parallelogram:
- Area: Base x Height
- Perimeter: 2 x (Base + Side)
Trapezoid:
- Area: (Base 1 + Base 2) x Height / 2
- Perimeter: Sum of all sides
Answer Key:
1. Square
- Area: 25 cm²
- Perimeter: 20 cm
2. Rectangle
- Area: 24 cm²
- Perimeter: 22 cm
3. Triangle
- Area: 30 cm²
- Perimeter: Requires side lengths to calculate
4. Circle
- Area: 153.86 cm² (rounded to two decimal places)
- Perimeter: 43.96 cm (rounded to two decimal places)
5. Parallelogram
- Area: 48 cm²
- Perimeter: Requires side lengths to calculate
6. Trapezoid
- Area: 21 cm²
- Perimeter: Requires side lengths to calculate
Note: You may need to calculate the missing side lengths for the triangle, parallelogram, and trapezoid in order to find their perimeters.
