Common Core: 3rd Grade Math : Geometric Measurement: Understanding Concepts of Area and Relating Area to Multiplication and to Addition

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

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Example Questions

Example Question #5562 : Ssat Elementary Level Quantitative (Math)

How many square units make up the area of the shape below? 

Screen shot 2015 09 28 at 10.50.04 am

Possible Answers:

\(\displaystyle 11\textup { square units}\)

\(\displaystyle 13\textup { square units}\)

\(\displaystyle 12\textup { square units}\)

\(\displaystyle 9\textup { square units}\)

\(\displaystyle 10\textup { square units}\)

Correct answer:

\(\displaystyle 9\textup { square units}\)

Explanation:

The shape is made up of unit squares. We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 9\) squares within the shape. 

Example Question #5563 : Ssat Elementary Level Quantitative (Math)

How many square units make up the area of the shape below? 

Screen shot 2015 09 28 at 10.51.06 am

Possible Answers:

\(\displaystyle 17\textup { square units}\)

\(\displaystyle 18\textup { square units}\)

\(\displaystyle 15\textup { square units}\)

\(\displaystyle 16\textup { square units}\)

\(\displaystyle 19\textup { square units}\)

Correct answer:

\(\displaystyle 15\textup { square units}\)

Explanation:

The shape is made up of unit squares. We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 15\) squares within the shape. 

Example Question #191 : Measurement & Data

How many square units make up the area of the shape below? 

Screen shot 2015 09 28 at 10.51.41 am

Possible Answers:

\(\displaystyle 24\textup { square units}\)

\(\displaystyle 23\textup { square units}\)

\(\displaystyle 20\textup { square units}\)

\(\displaystyle 21\textup { square units}\)

 

\(\displaystyle 22\textup { square units}\)

Correct answer:

\(\displaystyle 21\textup { square units}\)

 

Explanation:

The shape is made up of unit squares. We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 21\) squares within the shape. 

Example Question #192 : Measurement & Data

How many square units make up the area of the shape below? 

Screen shot 2015 09 28 at 10.51.55 am

Possible Answers:

\(\displaystyle 15\textup { square units}\)

\(\displaystyle 16\textup { square units}\)

\(\displaystyle 17\textup { square units}\)

\(\displaystyle 18\textup { square units}\)

\(\displaystyle 19\textup { square units}\)

Correct answer:

\(\displaystyle 17\textup { square units}\)

Explanation:

The shape is made up of unit squares. We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 17\) squares within the shape. 

Example Question #1 : Count Unit Squares: Ccss.Math.Content.3.Md.C.6

The rectangle is made up of \(\displaystyle 1in\) by \(\displaystyle 1in\) squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

If each of the small boxes in the figure below measures 1 in by 1 in, what is the area of the entire shape? 

Screen shot 2015 09 29 at 10.43.53 am

Possible Answers:

\(\displaystyle 23in^2\)

\(\displaystyle 24in^2\)

\(\displaystyle 22in^2\)

\(\displaystyle 20in^2\)

\(\displaystyle 21in^2\)

Correct answer:

\(\displaystyle 24in^2\)

Explanation:

We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 24\) squares within the shape, which means the area is \(\displaystyle 24in^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #2 : Count Unit Squares: Ccss.Math.Content.3.Md.C.6

The rectangle is made up of \(\displaystyle 1in\) by \(\displaystyle 1in\) squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

 

How many square inches make up the area of the shape below? 

Screen shot 2015 09 29 at 10.43.34 am

Possible Answers:

\(\displaystyle 19in^2\)

\(\displaystyle 22in^2\)

\(\displaystyle 21in^2\)

\(\displaystyle 20in^2\)

\(\displaystyle 18in^2\)

Correct answer:

\(\displaystyle 18in^2\)

Explanation:

We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 18\) squares within the shape, which means the area is \(\displaystyle 18in^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #1 : Count Unit Squares: Ccss.Math.Content.3.Md.C.6

The rectangle is made up of \(\displaystyle 1in\) by \(\displaystyle 1in\) squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

 

How many square inches make up the area of the shape below? 

Screen shot 2015 09 29 at 10.41.06 am

Possible Answers:

\(\displaystyle 17in^2\)

\(\displaystyle 19in^2\)

\(\displaystyle 18in^2\)

\(\displaystyle 15in^2\)

\(\displaystyle 16in^2\)

Correct answer:

\(\displaystyle 16in^2\)

Explanation:

We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 16\) squares within the shape, which means the area is \(\displaystyle 16in^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #3 : Count Unit Squares: Ccss.Math.Content.3.Md.C.6

The rectangle is made up of \(\displaystyle 1in\) by \(\displaystyle 1in\) squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

How many square inches make up the area of the shape below? 

Screen shot 2015 09 29 at 10.40.40 am

Possible Answers:

\(\displaystyle 10in^2\)

\(\displaystyle 9in^2\)

\(\displaystyle 12in^2\)

\(\displaystyle 13in^2\)

\(\displaystyle 11in^2\)

Correct answer:

\(\displaystyle 12in^2\)

Explanation:

We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 12\) squares within the shape, which means the area is \(\displaystyle 12in^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #4 : Count Unit Squares: Ccss.Math.Content.3.Md.C.6

The rectangle is made up of \(\displaystyle 1in\) by \(\displaystyle 1in\) squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

How many square inches make up the area of the shape below? 

Screen shot 2015 09 29 at 10.39.40 am

Possible Answers:

\(\displaystyle 4in^2\)

\(\displaystyle 5in^2\)

\(\displaystyle 6in^2\)

\(\displaystyle 7in^2\)

\(\displaystyle 8in^2\)

Correct answer:

\(\displaystyle 6in^2\)

Explanation:

We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 6\) squares within the shape, which means the area is \(\displaystyle 6in^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units.  

Example Question #5 : Count Unit Squares: Ccss.Math.Content.3.Md.C.6

The rectangle is made up of \(\displaystyle 1in\) by \(\displaystyle 1in\) squares. Use this information to help you solve the problem. 

Screen shot 2015 09 29 at 10.44.22 am

How many square inches make up the area of the shape below? 

Screen shot 2015 09 29 at 10.39.32 am

Possible Answers:

\(\displaystyle 4in^2\)

\(\displaystyle 8in^2\)

\(\displaystyle 7in^2\)

\(\displaystyle 5in^2\)

\(\displaystyle 6in^2\)

Correct answer:

\(\displaystyle 4in^2\)

Explanation:

We can count the number of squares within the shape to find the area. 

There are \(\displaystyle 4\) squares within the shape, which means the area is \(\displaystyle 4in^2\)

*Area is the number of square units inside a shape, which is why area is always written with square units.  

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