Understanding Area and Perimeter

Perimeter

• the area inside a shape

• the distance around a shape

• the height of a shape

• the volume of a shape

Area of a square

• @@ ext{side} imes ext{side}@@

• @@ ext{side}^3@@

• @@rac{1}{2} imes ext{side}^2@@

• @@ ext{side} + ext{side}@@

True or False: Area is measured in square units.

• True

• False

• Area is measured in linear units.

• Area is measured in cubic units.

Area of a rectangle

• latex="length \times width"

• length + width

• length - width

• length / width

Formula for perimeter of a regular polygon

• @@ ext{number of sides} imes ext{side length}@@

• @@ ext{number of sides} + ext{side length}@@

• @@ ext{number of sides} imes ext{side length}^2@@

• @@ ext{number of sides} / ext{side length}@@

True or False: A larger perimeter means a larger area.

• True

• False

• It depends on the shape

• Only for regular shapes

Formula for area of a parallelogram

• @@base \times height@@

• @@\frac{1}{2} \times base \times height@@

• @@base + height@@

• @@2 \times (base + height)@@

Area of a circle

• 2 imes ext{radius}

• rac{1}{2} imes ext{base} imes ext{height}

• rac{4}{3} imes ext{radius}^3

• C0 imes ext{radius}^2

Example: Perimeter of square with side 4

• @@4 imes 4 = 16@@ units

• @@4 imes 4 = 12@@ units

• @@4 imes 4 = 20@@ units

• @@4 imes 4 = 8@@ units

Example: Area of triangle with base 6 and height 4

• 12 square units

• 10 square units

• 14 square units

• 8 square units