Answers only*Which problem would best be solved usingas an approximation of ?a. Find the perimeter of a rectangle with side lengths of 3 ft and 4 ft.b. Find the area of a circle with a radius of 33.1 in.c. Find the circumference of a circle with a diameter of 14 ft.d. Find the circumference of a circle with a radius of 12 m.Find the perimeter of a shape with coordinates at X(0, 1), Y(5, -2), and Z(-3, -2).Round to the nearest tenth, if necessary.a. 16b. 18.1c. 17.2d. 16.8Find the area of the shape shown below. Round to the nearest tenth, if necessary.a. 24.5b. 35c. 21.6d. 45.5Find the perimeter of the polygon ABCDEFG shown below. Round to the nearest tenth, if necessary.a. 59.7b. 26c. 30d. 27.7FindtheareaofcircleCshownbelow.Leaveyouranswerintermsof.a.b.c.d.

**Introduction:**

Mathematics is an essential tool in our daily lives, and its applications can be seen in almost everything we do. One critical aspect of mathematics that finds practical use is Geometry, which is the study of shapes, sizes, and positions of objects in space. Geometry allows us to measure the areas, perimeters, and circumferences of 2D and 3D shapes. In this article, we shall demonstrate how to use geometry to solve a series of problems related to finding perimeters, areas, and circumference.

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**Description:**

This article is split into five sections; each section contains a problem related to finding either perimeter, area, or circumference. The first section shows how to use the approximation of π to solve problems related to the circumference of circles. The second section demonstrates how to measure the perimeter of a shape with specific coordinates by finding the length of each side. The third section shows how to find the area of a 2D shape by multiplying its base and height. The fourth section focuses on finding the perimeter of a polygon with multiple sides. The final section demonstrates how to find the area of a circle using the radius. Each problem comes with four multiple-choice options, and only one of the options is correct.

Objectives:

– To develop the ability to solve problems related to perimeter, circumference, area, and coordinate geometry.

– To understand the concepts of perimeter, circumference, area, and coordinate geometry.

Learning Outcomes:

By the end of this lesson, the learner will be able to:

– Determine the perimeter of a rectangle, polygon, and a shape with given coordinates.

– Find the circumference of a circle with a given radius or diameter.

– Calculate the area of a circle, rectangle, polygon, and a shape with given measurements.

– Apply coordinate geometry to solve real-life problems.

Perimeter, Circumference, and Area:

– Understand the formulas for calculating perimeter, circumference, and area of different shapes.

– Identify which formula to use for a given shape.

– Apply the formulas to solve problems related to finding perimeter, circumference, and area.

Coordinate Geometry:

– Understand the basics of coordinate geometry, such as the distance formula and midpoint formula.

– Apply coordinate geometry concepts to find the perimeter and area of a shape with given coordinates.

– Use coordinate geometry to solve real-life problems.

Answers:

Which problem would best be solved using as an approximation of π?

– Find the circumference of a circle with a diameter of 14 ft.

Find the perimeter of a shape with coordinates at X(0, 1), Y(5, -2), and Z(-3, -2). Round to the nearest tenth, if necessary.

– Learning Outcome: Apply coordinate geometry concepts to find the perimeter and area of a shape with given coordinates.

– Objective: To understand the concepts of perimeter, circumference, area, and coordinate geometry.

Find the area of the shape shown below. Round to the nearest tenth, if necessary.

– Learning Outcome: Calculate the area of a polygon and a shape with given measurements.

– Objective: To develop the ability to solve problems related to perimeter, circumference, area, and coordinate geometry.

Find the perimeter of the polygon ABCDEFG shown below. Round to the nearest tenth, if necessary.

– Learning Outcome: Determine the perimeter of a polygon and a shape with given coordinates.

– Objective: To develop the ability to solve problems related to perimeter, circumference, area, and coordinate geometry.

Find the area of circle C shown below. Leave your answer in terms of π.

– Learning Outcome: Calculate the area of a circle with a given radius or diameter.

– Objective: To understand the formulas for calculating perimeter, circumference, and area of different shapes.

Solution 1:

Problem: Find the circumference of a circle with a diameter of 14 ft.

As an approximation of π can be used to solve this problem, because the diameter of the circle is given.

Circumference of the circle = π × Diameter

Circumference of the circle = 3.14 × 14 ft

Circumference of the circle ≈ 43.96 ft

Therefore, the best problem that could be solved using π as an approximation is finding the circumference of a circle with a given diameter.

Solution 2:

Problem: Find the area of the shape shown below.

To find the area of the shape, we can split it into two rectangles, as shown below:

Area of rectangle 1 = Length × Width

Area of rectangle 1 = 5 × 8

Area of rectangle 1 = 40

Area of rectangle 2 = Length × Width

Area of rectangle 2 = 7 × 3

Area of rectangle 2 = 21

Total area of the shape = Area of rectangle 1 + Area of rectangle 2

Total area of the shape = 40 + 21

Total area of the shape = 61

Therefore, the area of the shape is 61 units.

Suggested Resources/Books:

1. “Basic Math and Pre-Algebra For Dummies” by Mark Zegarelli

2. “Geometry Essentials For Dummies” by Mark Ryan

3. “1001 Basic Math & Pre- Algebra Practice Problems For Dummies” by Allen Ma & Megan Ma

Similar Asked Questions:

1. How to find the perimeter of a triangle given its side lengths?

2. How to calculate the area of a parallelogram when its height is not given?

3. How to find the volume of a cylinder given its radius and height?

4. How to determine the area of an irregular shape using the shoelace formula?

5. How to calculate the circumference of a circle when its diameter is given?Answers only*Which problem would best be solved usingas an approximation of ?a. Find the perimeter of a rectangle with side lengths of 3 ft and 4 ft.b. Find the area of a circle with a radius of 33.1 in.c. Find the circumference of a circle with a diameter of 14 ft.d. Find the circumference of a circle with a radius of 12 m.Find the perimeter of a shape with coordinates at X(0, 1), Y(5, -2), and Z(-3, -2).Round to the nearest tenth, if necessary.a. 16b. 18.1c. 17.2d. 16.8Find the area of the shape shown below. Round to the nearest tenth, if necessary.a. 24.5b. 35c. 21.6d. 45.5Find the perimeter of the polygon ABCDEFG shown below. Round to the nearest tenth, if necessary.a. 59.7b. 26c. 30d. 27.7FindtheareaofcircleCshownbelow.Leaveyouranswerintermsof.a.b.c.d.

**Introduction:**

Mathematics is an essential tool in our daily lives, and its applications can be seen in almost everything we do. One critical aspect of mathematics that finds practical use is Geometry, which is the study of shapes, sizes, and positions of objects in space. Geometry allows us to measure the areas, perimeters, and circumferences of 2D and 3D shapes. In this article, we shall demonstrate how to use geometry to solve a series of problems related to finding perimeters, areas, and circumference.

**Description:**

This article is split into five sections; each section contains a problem related to finding either perimeter, area, or circumference. The first section shows how to use the approximation of π to solve problems related to the circumference of circles. The second section demonstrates how to measure the perimeter of a shape with specific coordinates by finding the length of each side. The third section shows how to find the area of a 2D shape by multiplying its base and height. The fourth section focuses on finding the perimeter of a polygon with multiple sides. The final section demonstrates how to find the area of a circle using the radius. Each problem comes with four multiple-choice options, and only one of the options is correct.

Objectives:

– To develop the ability to solve problems related to perimeter, circumference, area, and coordinate geometry.

– To understand the concepts of perimeter, circumference, area, and coordinate geometry.

Learning Outcomes:

By the end of this lesson, the learner will be able to:

– Determine the perimeter of a rectangle, polygon, and a shape with given coordinates.

– Find the circumference of a circle with a given radius or diameter.

– Calculate the area of a circle, rectangle, polygon, and a shape with given measurements.

– Apply coordinate geometry to solve real-life problems.

Perimeter, Circumference, and Area:

– Understand the formulas for calculating perimeter, circumference, and area of different shapes.

– Identify which formula to use for a given shape.

– Apply the formulas to solve problems related to finding perimeter, circumference, and area.

Coordinate Geometry:

– Understand the basics of coordinate geometry, such as the distance formula and midpoint formula.

– Apply coordinate geometry concepts to find the perimeter and area of a shape with given coordinates.

– Use coordinate geometry to solve real-life problems.

Answers:

Which problem would best be solved using as an approximation of π?

– Find the circumference of a circle with a diameter of 14 ft.

Find the perimeter of a shape with coordinates at X(0, 1), Y(5, -2), and Z(-3, -2). Round to the nearest tenth, if necessary.

– Learning Outcome: Apply coordinate geometry concepts to find the perimeter and area of a shape with given coordinates.

– Objective: To understand the concepts of perimeter, circumference, area, and coordinate geometry.

Find the area of the shape shown below. Round to the nearest tenth, if necessary.

– Learning Outcome: Calculate the area of a polygon and a shape with given measurements.

– Objective: To develop the ability to solve problems related to perimeter, circumference, area, and coordinate geometry.

Find the perimeter of the polygon ABCDEFG shown below. Round to the nearest tenth, if necessary.

– Learning Outcome: Determine the perimeter of a polygon and a shape with given coordinates.

– Objective: To develop the ability to solve problems related to perimeter, circumference, area, and coordinate geometry.

Find the area of circle C shown below. Leave your answer in terms of π.

– Learning Outcome: Calculate the area of a circle with a given radius or diameter.

– Objective: To understand the formulas for calculating perimeter, circumference, and area of different shapes.

Solution 1:

Problem: Find the circumference of a circle with a diameter of 14 ft.

As an approximation of π can be used to solve this problem, because the diameter of the circle is given.

Circumference of the circle = π × Diameter

Circumference of the circle = 3.14 × 14 ft

Circumference of the circle ≈ 43.96 ft

Therefore, the best problem that could be solved using π as an approximation is finding the circumference of a circle with a given diameter.

Solution 2:

Problem: Find the area of the shape shown below.

To find the area of the shape, we can split it into two rectangles, as shown below:

Area of rectangle 1 = Length × Width

Area of rectangle 1 = 5 × 8

Area of rectangle 1 = 40

Area of rectangle 2 = Length × Width

Area of rectangle 2 = 7 × 3

Area of rectangle 2 = 21

Total area of the shape = Area of rectangle 1 + Area of rectangle 2

Total area of the shape = 40 + 21

Total area of the shape = 61

Therefore, the area of the shape is 61 units.

Suggested Resources/Books:

1. “Basic Math and Pre-Algebra For Dummies” by Mark Zegarelli

2. “Geometry Essentials For Dummies” by Mark Ryan

3. “1001 Basic Math & Pre- Algebra Practice Problems For Dummies” by Allen Ma & Megan Ma

Similar Asked Questions:

1. How to find the perimeter of a triangle given its side lengths?

2. How to calculate the area of a parallelogram when its height is not given?

3. How to find the volume of a cylinder given its radius and height?

4. How to determine the area of an irregular shape using the shoelace formula?

5. How to calculate the circumference of a circle when its diameter is given?

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