Do Now 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.

Areas of Rectangles and Parallelograms Section 8.1

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Area 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 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 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.

Example A Find the area of this shape.

Example A 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 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 Formula for Parallelograms

Area of a Parallelogram

Example B Find the height of a parallelogram that has area 7.13 square meters and base length 2.3 meters.

Practice

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Exit Slip Find the area of each shape. Show your work AND explain your reasoning. 1. Find the area. 2. 3.

Do Now Read silently for 15 minutes. Then we will finish up the door. There will be an auction after that.

Do Now 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.

Areas of Rectangles and Parallelograms Section 8.1

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Area 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 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 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.

Example A Find the area of this shape.

Example A 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 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 Formula for Parallelograms

Area of a Parallelogram

Example B Find the height of a parallelogram that has area 7.13 square meters and base length 2.3 meters.

Practice

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Exit Slip Find the area of each shape. Show your work AND explain your reasoning. 1. Find the area. 2. 3.

Do Now 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.

Areas of Rectangles and Parallelograms Section 8.1

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Area 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 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 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.

Example A Find the area of this shape.

Example A 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 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 Formula for Parallelograms

Area of a Parallelogram

Example B Find the height of a parallelogram that has area 7.13 square meters and base length 2.3 meters.

Practice

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Exit Slip Find the area of each shape. Show your work AND explain your reasoning. 1. Find the area. 2. 3.

Do Now 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.

Areas of Rectangles and Parallelograms Section 8.1

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Area 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 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 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.

Example A Find the area of this shape.

Example A 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 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 Formula for Parallelograms

Area of a Parallelogram

Example B Find the height of a parallelogram that has area 7.13 square meters and base length 2.3 meters.

Practice

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Exit Slip Find the area of each shape. Show your work AND explain your reasoning. 1. Find the area. 2. 3.

Do Now 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.

Areas of Rectangles and Parallelograms Section 8.1

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Area 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 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 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.

Example A Find the area of this shape.

Example A 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 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 Formula for Parallelograms

Area of a Parallelogram

Example B Find the height of a parallelogram that has area 7.13 square meters and base length 2.3 meters.

Practice

Today’s Objectives Derive formulas for the areas of a rectangle and a parallelogram Apply area formulas to solve problems. Use problem solving skills

Exit Slip Find the area of each shape. Show your work AND explain your reasoning. 1. Find the area. 2. 3.