Use area and perimeter to determine cost

📏 Perimeter

The perimeter is the distance around the boundary of a shape.

Formula examples:

  • Rectangle: P = 2 × (Length + Width)
  • Square: P = 4 × Side

💰 Use: Helpful to calculate fencing or border cost.

Example: Fencing a garden costs ₹50 per meter.

  • Perimeter × Cost per meter = Total cost

📐 Area

The area is the space inside a shape.

Formula examples:

  • Rectangle: A = Length × Width
  • Square: A = Side × Side

💰 Use: Helpful to calculate painting, flooring, or tiling cost.

Example: Flooring a room costs ₹100 per m².

  • Area × Cost per m² = Total cost

🔢 Step-by-Step Method to Find Cost

  • Measure or find the length and width of the shape.
  • Calculate perimeter if needed for fencing.
  • Calculate area if needed for flooring, painting, or tiling.
  • Multiply perimeter or area by the cost per unit.
  • 🎯 Result: Total cost!

🖼️ Examples:

Fencing a rectangular garden:

  • Length = 10 m, Width = 5 m
  • Perimeter = 2 × (10 + 5) = 30 m
  • Cost = 30 × ₹50 = ₹1500

Flooring a square room:

  • Side = 4 m
  • Area = 4 × 4 = 16 m²
  • Cost = 16 × ₹100 = ₹1600

💡 Tips & Tricks:

  • Always check the unit (meter, cm, m²).
  • Perimeter → cost of edges/fencing
  • Area → cost of inside space (floor, paint, tiles)
  • Draw a diagram to avoid mistakes 🖊️

🎨 Fun Emoji Summary:

  • 🌳 Garden fencing → Perimeter
  • 🏠 Floor or wall tiles → Area
  • 💵 Multiply by unit cost → Total cost

Learn with an example

₹_____

Picture the rectangle:

Add the lengths:

12 + 18 + 12 + 18 = 60

The perimeter is 60 centimetres. Now multiply the price per centimetre by the perimeter.

It would cost ₹4,980.00 to buy a silver frame for the photograph.

₹_____

Multiply the side length by itself:

4 × 4 = 16

The area is 16 square metres. Now multiply the price per square metre by the area.

It will cost ₹49,664.00.

₹_____

Picture the rectangle:

Add the lengths:

5 + 8 + 5 + 8 = 26

The perimeter is 26 metres. Now multiply the price per metre by the perimeter.

It will cost ₹5,512.00 to buy enough border.

Let’s practice!🖊️