Algebra 1 Predicting Patterns & Examining Experiments Unit 6: Around the Plane Section 4: Fill ‘er Up

What’s the Area of this Shape? The shape is an equilateral triangle on top of a square. Per.=30. The shape is an equilateral triangle on top of a square. Per.=

What’s the Area of this Shape? The shape is an equilateral triangle on top of a square. Per.=30. The shape is an equilateral triangle on top of a square. Per.= Area of the Square = Area of the Triangle = Area of the Square = Area of the Triangle =

What’s the Area of this Shape? The shape is an equilateral triangle on top of a square. Per.=30. The shape is an equilateral triangle on top of a square. Per.= Area of the Square = Area of the Triangle = Area of the Square = Area of the Triangle = height

What’s the Area of this Shape? The shape is an equilateral triangle on top of a square. Per.=30. The shape is an equilateral triangle on top of a square. Per.= Area of the Square = Area of the Triangle = Area of the Square = Area of the Triangle = height We are going to look at half of the equilateral triangle. We are going to look at half of the equilateral triangle. height 6 3

What’s the Area of this Shape? The shape is an equilateral triangle on top of a square. Per.=30. The shape is an equilateral triangle on top of a square. Per.= Area of the Square = Area of the Triangle = Area of the Square = Area of the Triangle = height We are going to look at half of the equilateral triangle. We are going to look at half of the equilateral triangle. height 6 3

What’s the Area of this Shape? The shape is an equilateral triangle on top of a square. Per.=30. The shape is an equilateral triangle on top of a square. Per.= Area of the Square = Area of the Triangle = Area of the Square = Area of the Triangle = height We are going to look at half of the equilateral triangle. We are going to look at half of the equilateral triangle. height 6 3

What’s the Area of this Shape? The shape is an equilateral triangle on top of a square. Per.=30. The shape is an equilateral triangle on top of a square. Per.= Area of the Square = Area of the Triangle = Area of the Square = Area of the Triangle = height

What’s the Area of this Shape? The shape is an equilateral triangle on top of a square. Per.=30. The shape is an equilateral triangle on top of a square. Per.= Area of the Square = Area of the Triangle = Total Area: √27 ≈ Area of the Square = Area of the Triangle = Total Area: √27 ≈ height

What is the Area of this Shape? 17 6 Perimeter = √98 + √65 ≈ √98 √65

What is the Area of this Shape? 17 6 Perimeter = √98 + √65 ≈ √98 √ Remember:

What is the Area of this Shape? 17 6 Perimeter = √98 + √65 ≈ √98 √ Area: 47/2=14

What is the Area of this Shape? 17 6 Perimeter = √98 + √65 ≈ √98 √ Area: 47/2=14 Area: 67 = 42 7

What is the Area of this Shape? 17 6 Perimeter = √98 + √65 ≈ √98 √ Area: 47/2=14 Area: 67 = 42 Area:77/2=24.5 7

What is the Area of this Shape? 17 6 Perimeter = √98 + √65 ≈ √98 √ Area: 47/2=14 Area: 67 = 42 Area:77/2=24.5 Total Area:

Why can’t we add a fifth?

It is possible to fit four triangles inside of a 5by5 square, but not a fifth. Complete a drawing with the four inside and explain why the fifth cannot be added.

Why can’t we add a fifth? It is possible to fit four triangles inside of a 5by5 square, but not a fifth. Complete a drawing with the four inside and explain why the fifth cannot be added. The area of the square is 25 square units, and the area of each triangle is 34/2=6 square units. Therefore, there can be at most four triangles, because 46=24, but 56=30 > 25.

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