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Rectangle Area and Perimeter Investigation

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Rectangle Area and Perimeter Investigation

Investigation: 24 square tiles

Perimeter is the distance around a shape. It is measured in units.

Area is the space inside a shape. It is measured in square units.

Build different rectangles using exactly 24 square tiles. Sketch each rectangle and complete the table.

Length (units) | Width (units) | Sketch | Area (square units) | Perimeter (units)

1. Rectangle 1: ______ | ______ |

Area: ______ square units    Perimeter: ______ units

2. Rectangle 2: ______ | ______ |

Area: ______ square units    Perimeter: ______ units

3. Rectangle 3: ______ | ______ |

Area: ______ square units    Perimeter: ______ units

4. Rectangle 4: ______ | ______ |

Area: ______ square units    Perimeter: ______ units

Explain your thinking

5. Choose two rectangles from your table. They have the same area because they use 24 tiles. Do they have different perimeters? Show the calculations and explain.
6. Can two rectangles have the same perimeter but different areas? Use an example to prove your answer.
7. A garden is 7 m long and 3 m wide. Find its perimeter and area. Show your working and label both answers correctly.

Perimeter: ____________________ m     Area: ____________________ m²

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