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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.
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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.
Example Find the area of each regular polygon.