Use area and perimeter to determine cost
Key Notes :
📏 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
⚫ A photograph is 12 centimetres by 18 centimetres. A frame shop charges ₹83.00 per centimetre for a silver frame. How much would it cost to buy a silver frame for the photograph?
₹_____
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.
⚫ The sides of a square-shaped room are 4 metres long. Levi wants to buy carpet to cover the floor of the room. If the carpet costs ₹3,104.00 per square metre, how much will it cost to buy enough carpet for the room?
₹_____

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.
⚫ Levi’s lounge is 5 metres wide and 8 metres long. He wants to put a border around the top of the room. The cost of the border is ₹212.00 per metre. How much will it cost to buy enough of the border to go around the room?
₹_____
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!🖊️

