Area And Perimeter Of 2D Shapes Worksheet - Free Printable

Let’s solve each shape one by one. We’ll find the area and perimeter for each polygon, and write the number model (the math steps) to show how we got the answer.

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1. Rectangle (top left)

Dimensions: length = 15 in., width = 3 in.

- Area of rectangle = length × width
→ 15 × 3 = 45 square inches

- Perimeter of rectangle = 2 × (length + width)
→ 2 × (15 + 3) = 2 × 18 = 36 inches

✔ Number models:
- Area: 15 × 3 = 45
- Perimeter: 2 × (15 + 3) = 36

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2. Right Triangle (top right)

Sides: base = 10 cm, height = 6 cm, hypotenuse = 11.7 cm

- Area of triangle = (base × height) ÷ 2
→ (10 × 6) ÷ 2 = 60 ÷ 2 = 30 square centimeters

- Perimeter of triangle = add all three sides
→ 10 + 6 + 11.7 = 27.7 centimeters

✔ Number models:
- Area: (10 × 6) ÷ 2 = 30
- Perimeter: 10 + 6 + 11.7 = 27.7

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3. Rectangle (middle left)

Dimensions: length = 5 ft, width = 4 ft

- Area = 5 × 4 = 20 square feet

- Perimeter = 2 × (5 + 4) = 2 × 9 = 18 feet

✔ Number models:
- Area: 5 × 4 = 20
- Perimeter: 2 × (5 + 4) = 18

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4. Triangle (middle right)

Base = 6 m, height = 2 m, other two sides = 5 m and 3 m

- Area = (base × height) ÷ 2
→ (6 × 2) ÷ 2 = 12 ÷ 2 = 6 square meters

- Perimeter = 5 + 3 + 6 = 14 meters

✔ Number models:
- Area: (6 × 2) ÷ 2 = 6
- Perimeter: 5 + 3 + 6 = 14

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5. Parallelogram (bottom left)

Base = 9 cm, height = 2 cm, side = 3 cm

Note: For area, use base × height. For perimeter, add all four sides — opposite sides are equal.

So sides are: 9 cm, 3 cm, 9 cm, 3 cm

- Area = base × height = 9 × 2 = 18 square centimeters

- Perimeter = 9 + 3 + 9 + 3 = 24 centimeters
OR: 2 × (9 + 3) = 2 × 12 = 24

✔ Number models:
- Area: 9 × 2 = 18
- Perimeter: 2 × (9 + 3) = 24

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6. Parallelogram (bottom right)

Base = 3 m, height = 3 m, side = 3.5 m

Again, opposite sides are equal → sides: 3 m, 3.5 m, 3 m, 3.5 m

- Area = base × height = 3 × 3 = 9 square meters

- Perimeter = 3 + 3.5 + 3 + 3.5 = 13 meters
OR: 2 × (3 + 3.5) = 2 × 6.5 = 13

✔ Number models:
- Area: 3 × 3 = 9
- Perimeter: 2 × (3 + 3.5) = 13

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Final Answer:

Rectangle (15 in. x 3 in.)
Area = 45 in²
Perimeter = 36 in

Right Triangle (10 cm, 6 cm, 11.7 cm)
Area = 30 cm²
Perimeter = 27.7 cm

Rectangle (5 ft x 4 ft)
Area = 20 ft²
Perimeter = 18 ft

Triangle (base 6 m, height 2 m, sides 5 m & 3 m)
Area = 6 m²
Perimeter = 14 m

Parallelogram (base 9 cm, height 2 cm, side 3 cm)
Area = 18 cm²
Perimeter = 24 cm

Parallelogram (base 3 m, height 3 m, side 3.5 m)
Area = 9 m²
Perimeter = 13 m