Common Core: High School - Geometry : Use Distance Formula to Compute and Compare Perimeters and Areas of Polygons: CCSS.Math.Content.HSG-GPE.B.7

Example Questions

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Example Question #75 : Expressing Geometric Properties With Equations

Find the perimeter of the following polygon with the points , ,  and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #1 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , ,  and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #77 : Expressing Geometric Properties With Equations

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #71 : Expressing Geometric Properties With Equations

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #81 : Expressing Geometric Properties With Equations

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #1 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #83 : Expressing Geometric Properties With Equations

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #84 : Expressing Geometric Properties With Equations

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #1 : Use Distance Formula To Compute And Compare Perimeters And Areas Of Polygons: Ccss.Math.Content.Hsg Gpe.B.7

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

Example Question #86 : Expressing Geometric Properties With Equations

Find the perimeter of the following polygon with the points , , , and  to two decimal places.

Explanation:

In order to find the perimeter, we need to find the sum of the edges of the polygon.

In order to do this, we need to find the distance between the points.

Let's recall the distance formula.

Lets say that

Here is a picture of the polygon

Let's first find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now let's find the distance between  and

Now since we have the distances, we can simply sum up each edge to get the perimeter.

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