


Take out your 5.5/5.6
worksheet and be ready
for a stamp.
Draw a rhombus,
rectangle, and square.
Mark all the properties
you know on each
drawing.
Solve the problem to the
right.
Section 8.1



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills

The area of a plane figure is the measure of
the region enclosed by the figure. You
measure the area of a figure by counting the
number of square units that you can arrange
to fill the figure completely.


You probably already know many area
formulas. Think of these investigations as
physical demonstrations of the formulas that
will help you understand and remember
them.
How can you find the area of these three
rectangles?

Any side of a rectangle
can be called the base.
A rectangle’s height is
the length of the side
that is perpendicular to
the base. For each pair
of parallel bases, there is
a corresponding height.
The area formula for rectangles can
help you find the areas of many
other shapes.

Find the area of this shape.

Think of the shape this way

The area is 32+3+5+9+3 or 52 square units.


You can also use the area formula for a
rectangle to find the area formula for a
parallelogram.
Just as with a rectangle, any side of the
parallelogram can be called the base. BUT
THE HEIGHT OF THE PARALLELOGRAM IS NOT
NECESSARILY THE LENGTH OF A SIDE.
base
base

An altitude is any segment from one side of
the parallelogram perpendicular to a line
through the opposite side. The length of the
altitude is the height.

The altitude can be inside or outside the
parallelogram. No matter where you draw the
altitude to the base, its height should be the
same, because the opposite sides are parallel.
Area of a Parallelogram

Find the height of a parallelogram that has
area 7.13 square meters and base length 2.3
meters.



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills
Find the area of each shape. Show your work
AND explain your reasoning.
1. Find the area.
2.

3.



Read silently for 15 minutes.
Then we will finish up the door.
There will be an auction after that.



Take out your 5.5/5.6
worksheet and be ready
for a stamp.
Draw a rhombus,
rectangle, and square.
Mark all the properties
you know on each
drawing.
Solve the problem to the
right.
Section 8.1



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills

The area of a plane figure is the measure of
the region enclosed by the figure. You
measure the area of a figure by counting the
number of square units that you can arrange
to fill the figure completely.


You probably already know many area
formulas. Think of these investigations as
physical demonstrations of the formulas that
will help you understand and remember
them.
How can you find the area of these three
rectangles?

Any side of a rectangle
can be called the base.
A rectangle’s height is
the length of the side
that is perpendicular to
the base. For each pair
of parallel bases, there is
a corresponding height.
The area formula for rectangles can
help you find the areas of many
other shapes.

Find the area of this shape.

Think of the shape this way

The area is 32+3+5+9+3 or 52 square units.


You can also use the area formula for a
rectangle to find the area formula for a
parallelogram.
Just as with a rectangle, any side of the
parallelogram can be called the base. BUT
THE HEIGHT OF THE PARALLELOGRAM IS NOT
NECESSARILY THE LENGTH OF A SIDE.
base
base

An altitude is any segment from one side of
the parallelogram perpendicular to a line
through the opposite side. The length of the
altitude is the height.

The altitude can be inside or outside the
parallelogram. No matter where you draw the
altitude to the base, its height should be the
same, because the opposite sides are parallel.
Area of a Parallelogram

Find the height of a parallelogram that has
area 7.13 square meters and base length 2.3
meters.



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills
Find the area of each shape. Show your work
AND explain your reasoning.
1. Find the area.
2.

3.



Take out your 5.5/5.6
worksheet and be ready
for a stamp.
Draw a rhombus,
rectangle, and square.
Mark all the properties
you know on each
drawing.
Solve the problem to the
right.
Section 8.1



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills

The area of a plane figure is the measure of
the region enclosed by the figure. You
measure the area of a figure by counting the
number of square units that you can arrange
to fill the figure completely.


You probably already know many area
formulas. Think of these investigations as
physical demonstrations of the formulas that
will help you understand and remember
them.
How can you find the area of these three
rectangles?

Any side of a rectangle
can be called the base.
A rectangle’s height is
the length of the side
that is perpendicular to
the base. For each pair
of parallel bases, there is
a corresponding height.
The area formula for rectangles can
help you find the areas of many
other shapes.

Find the area of this shape.

Think of the shape this way

The area is 32+3+5+9+3 or 52 square units.


You can also use the area formula for a
rectangle to find the area formula for a
parallelogram.
Just as with a rectangle, any side of the
parallelogram can be called the base. BUT
THE HEIGHT OF THE PARALLELOGRAM IS NOT
NECESSARILY THE LENGTH OF A SIDE.
base
base

An altitude is any segment from one side of
the parallelogram perpendicular to a line
through the opposite side. The length of the
altitude is the height.

The altitude can be inside or outside the
parallelogram. No matter where you draw the
altitude to the base, its height should be the
same, because the opposite sides are parallel.
Area of a Parallelogram

Find the height of a parallelogram that has
area 7.13 square meters and base length 2.3
meters.



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills
Find the area of each shape. Show your work
AND explain your reasoning.
1. Find the area.
2.

3.



Take out your 5.5/5.6
worksheet and be ready
for a stamp.
Draw a rhombus,
rectangle, and square.
Mark all the properties
you know on each
drawing.
Solve the problem to the
right.
Section 8.1



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills

The area of a plane figure is the measure of
the region enclosed by the figure. You
measure the area of a figure by counting the
number of square units that you can arrange
to fill the figure completely.


You probably already know many area
formulas. Think of these investigations as
physical demonstrations of the formulas that
will help you understand and remember
them.
How can you find the area of these three
rectangles?

Any side of a rectangle
can be called the base.
A rectangle’s height is
the length of the side
that is perpendicular to
the base. For each pair
of parallel bases, there is
a corresponding height.
The area formula for rectangles can
help you find the areas of many
other shapes.

Find the area of this shape.

Think of the shape this way

The area is 32+3+5+9+3 or 52 square units.


You can also use the area formula for a
rectangle to find the area formula for a
parallelogram.
Just as with a rectangle, any side of the
parallelogram can be called the base. BUT
THE HEIGHT OF THE PARALLELOGRAM IS NOT
NECESSARILY THE LENGTH OF A SIDE.
base
base

An altitude is any segment from one side of
the parallelogram perpendicular to a line
through the opposite side. The length of the
altitude is the height.

The altitude can be inside or outside the
parallelogram. No matter where you draw the
altitude to the base, its height should be the
same, because the opposite sides are parallel.
Area of a Parallelogram

Find the height of a parallelogram that has
area 7.13 square meters and base length 2.3
meters.



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills
Find the area of each shape. Show your work
AND explain your reasoning.
1. Find the area.
2.

3.



Take out your 5.5/5.6
worksheet and be ready
for a stamp.
Draw a rhombus,
rectangle, and square.
Mark all the properties
you know on each
drawing.
Solve the problem to the
right.
Section 8.1



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills

The area of a plane figure is the measure of
the region enclosed by the figure. You
measure the area of a figure by counting the
number of square units that you can arrange
to fill the figure completely.


You probably already know many area
formulas. Think of these investigations as
physical demonstrations of the formulas that
will help you understand and remember
them.
How can you find the area of these three
rectangles?

Any side of a rectangle
can be called the base.
A rectangle’s height is
the length of the side
that is perpendicular to
the base. For each pair
of parallel bases, there is
a corresponding height.
The area formula for rectangles can
help you find the areas of many
other shapes.

Find the area of this shape.

Think of the shape this way

The area is 32+3+5+9+3 or 52 square units.


You can also use the area formula for a
rectangle to find the area formula for a
parallelogram.
Just as with a rectangle, any side of the
parallelogram can be called the base. BUT
THE HEIGHT OF THE PARALLELOGRAM IS NOT
NECESSARILY THE LENGTH OF A SIDE.
base
base

An altitude is any segment from one side of
the parallelogram perpendicular to a line
through the opposite side. The length of the
altitude is the height.

The altitude can be inside or outside the
parallelogram. No matter where you draw the
altitude to the base, its height should be the
same, because the opposite sides are parallel.
Area of a Parallelogram

Find the height of a parallelogram that has
area 7.13 square meters and base length 2.3
meters.



Derive formulas for the areas of a rectangle
and a parallelogram
Apply area formulas to solve problems.
Use problem solving skills
Find the area of each shape. Show your work
AND explain your reasoning.
1. Find the area.
2.

3.