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**Honors Geometry Section 5.1 Perimeter and Area**

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**The perimeter of any closed figure is the distance around the outside.**

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**For a polygon, the perimeter can be found by adding the lengths of the sides.**

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While the perimeter of a rectangle or square can be found by adding the lengths of the four sides, it may be more convenient to use the following formulas. Perimeter of a rectangle =__________ Perimeter of a square = ______

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**Example: The perimeter of a rectangle is 80cm**

Example: The perimeter of a rectangle is 80cm. If the length of the base is seven times the height, find the dimensions of the rectangle.

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**The area of any closed figure is the number of square units needed to completely fill the object.**

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If a unit of length, such as inch(in), foot(ft), or centimeter(cm), is given for a figure, then the area of the figure will be , and you will be expected to put the proper unit on your answer. If no unit is given in the problem, you will not give a unit in your answer.

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Postulate The area of a rectangle with base b and height h is given by the formula…. Area of a rectangle =_______ Area of a square = _____

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Postulate The Sum of Areas If a figure is composed of non-overlapping regions A and B, then the area of the figure equals the area A plus the area B.

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**Example: Find the area of the figure at the right**

Example: Find the area of the figure at the right. All segments are perpendicular.

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