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Areas Advanced Geometry Areas and Volumes Lesson 1.

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Presentation on theme: "Areas Advanced Geometry Areas and Volumes Lesson 1."— Presentation transcript:

1 Areas Advanced Geometry Areas and Volumes Lesson 1

2 Parallelograms ** The base and the height of any polygon are perpendicular to each other. Area Formulas Triangles

3 TrapezoidsRhombi

4 Example: Find the area and perimeter of parallelogram ABCD to the nearest tenth.

5 Example: Find the area and perimeter of parallelogram RSTU.

6 Example: Find the length of the base of the triangle if its area is 384.25 square inches. 14.5 in.

7 Example: Find the area of quadrilateral ABCD if AC = 35, BF = 18, and DE = 10.

8 Example: Trapezoid WXYZ has an area of 13.75 square meters. Find WX.

9 Example: Rhombus RSTU has an area of 64 square inches. Find US if RT = 8 inches.

10 Areas of Regular Polygons P a Perimeter apothem

11 Example: Find the area of a regular pentagon with a perimeter of 90 meters to the nearest tenth.

12 Example: Find the area of a regular hexagon with apothem length of 18 inches to the nearest tenth.

13 Area of a Circle

14 Example: An outdoor accessories company manufactures circular covers for outdoor umbrellas. If the cover is 8 inches longer than the umbrella on each side, find the area of the cover in square yards.

15 ft Example: Find the area of the shaded region. Assume that the quadrilateral is a square. Round to the nearest tenth.

16 Example: Find the area of the shaded region. Assume that the triangle is equilateral. Round to the nearest tenth.

17 Example: What is the area of the composite figure? Round to the nearest tenth.

18 Example: Find the area of the composite figure. Round to the nearest tenth, if necessary.


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