7.4: Areas of Trapezoids, Rhombuses, and Kites

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Presentation transcript:

7.4: Areas of Trapezoids, Rhombuses, and Kites Objective: To find the areas of trapezoids, rhombuses, and kites

Example Find the area of the parallelogram

Bases and Heights The parallel sides of a trapezoid are the bases. The altitude is a segment connecting the bases that is perpendicular to both. The length of the altitude (the distance between the bases) is the height. How to find area

Area of a Trapezoid Theorem The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases.

Example 2 Find the area of the trapezoid.

Investigation The following investigation will demonstrate how to compute the area of a kite. Area of a kite

Area of a Kite Theorem The area of a kite is one half the product of the lengths of its diagonals.

Example Find the area of the kite to the nearest whole square unit.

Area of a Rhombus The area of a rhombus is one half the product of the length of its diagonals. Area of a Rhombus

Area of a Rhombus Theorem The area of a rhombus is one half the product of the length of its diagonals.

Example Find the area of the rhombus.

Example Find the area of each polygon.

How you could find the area of the regular hexagon shown.

Example Find the area of each regular polygon.