Create Figures with Given Area

Discover how different shapes can have the same area!

What Does Area Mean?

Area is the amount of space inside a shape!
Did you know that many different shapes can have exactly the same area? A tall skinny rectangle and a short wide rectangle might look different, but they can cover the same amount of space. Let's explore how this works!

How to Create Different Shapes with the Same Area

1️⃣ Choose your area (like 12 square units)

2️⃣ Pick a shape (rectangle, triangle, etc.)

3️⃣ Find dimensions that give your chosen area

Let's Try Some Examples!

Example 1: Rectangle Maker

Let's make rectangles with an area of 24 square units:

8 × 3 = 24

8 units × 3 units

6 × 4 = 24

6 units × 4 units

Try making your own rectangle:

Length: units

Width: units

Area: 24 square units

Great job! That's 24 square units!

Example 2: Triangle Explorer

Now let's make triangles with an area of 16 square units:

base=8, height=4 (8×4)/2=16

Base: 8 units, Height: 4 units

base=4, height=8 (4×8)/2=16

Base: 4 units, Height: 8 units

Try making your own triangle:

Base: units

Height: units

Area: 16 square units

Perfect! That's 16 square units!

Parent Tips 🌟

  • Use graph paper - Have your child draw different shapes with the same area on graph paper to visualize the concept.
  • Real-world connections - Point out how different rooms in your house might have the same floor area but different shapes.
  • Play area games - Challenge your child to create as many different rectangles as possible with an area of 36 square units.

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