Advanced Geometry Areas and Volumes Lesson 1 Areas

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

Trapezoids Rhombi

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

Example: Find the area and perimeter of parallelogram RSTU.

Example: Find the length of the base of the triangle if its area is 384. 25 square inches. 14. 5 in.

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

Example: Trapezoid WXYZ has an area of 13. 75 square meters. Find WX.

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

Areas of Regular Polygons P a Perimeter apothem

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

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

Area of a Circle

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.

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

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

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

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