Areas

1
Areas

• Advanced Geometry
• Areas and Volumes
• Lesson 1

2
Parallelograms
Area Formulas

• The base and the height of any polygon are
  perpendicular to each other.

Triangles
3
Trapezoids
Rhombi
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

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

ft
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.