Common Core: 3rd Grade Math : Common Core Math: Grade 3

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

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Example Questions

Example Question #11 : How To Find The Area Of A Rectangle

What is the area of the figure below?


6

Possible Answers:

\displaystyle 40in^2

\displaystyle 8in^2

\displaystyle 36in^2

\displaystyle 44in^2

\displaystyle 48in^2

Correct answer:

\displaystyle 44in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

6.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=4\times 2            \displaystyle A=9\times 4

\displaystyle A=8in^2           \displaystyle A=36in^2

To find our final answer, we need to add the areas together. 

\displaystyle 8in^2+36in^2=44in^2

Example Question #1 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?


5

Possible Answers:

\displaystyle 31in^2

\displaystyle 35in^2

\displaystyle 22in^2

\displaystyle 40in^2

\displaystyle 9in^2

Correct answer:

\displaystyle 31in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

5.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=3\times 3            \displaystyle A=11\times 2

\displaystyle A=9in^2           \displaystyle A=22in^2

To find our final answer, we need to add the areas together. 

\displaystyle 9in^2+22in^2=31in^2

Example Question #112 : Plane Geometry

What is the area of the figure below?


4

Possible Answers:

\displaystyle 64in^2

\displaystyle 62in^2

\displaystyle 24in^2

\displaystyle 68in^2

\displaystyle 40in^2

Correct answer:

\displaystyle 64in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

4.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=8\times 5            \displaystyle A=6\times 4

\displaystyle A=40in^2           \displaystyle A=24in^2

To find our final answer, we need to add the areas together. 

\displaystyle 40in^2+24in^2=64in^2

Example Question #121 : Geometry

What is the area of the figure below?

3

Possible Answers:

\displaystyle 24in^2

\displaystyle 4in^2

\displaystyle 18n^2

\displaystyle 28in^2

\displaystyle 16in^2

Correct answer:

\displaystyle 28in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

3.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=2\times 12            \displaystyle A=2\times 2

\displaystyle A=24in^2           \displaystyle A=4in^2

To find our final answer, we need to add the areas together. 

\displaystyle 24in^2+4in^2=28in^2

Example Question #111 : Quadrilaterals

What is the area of the figure below?


1

Possible Answers:

\displaystyle 8in^2

\displaystyle 4in^2

\displaystyle 12in^2

\displaystyle 16in^2

\displaystyle 20in^2

Correct answer:

\displaystyle 12in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

1.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=2\times 4            \displaystyle A=4\times 1

\displaystyle A=8in^2           \displaystyle A=4in^2

To find our final answer, we need to add the areas together. 

\displaystyle 8in^2+4in^2=12in^2

Example Question #72 : Geometry

What is the area of the figure below?

2

Possible Answers:

\displaystyle 9in^2

\displaystyle 11in^2

\displaystyle 13in^2

\displaystyle 21in^2

\displaystyle 18in^2

Correct answer:

\displaystyle 11in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

2.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=3\times 3            \displaystyle A=2\times 1

\displaystyle A=9in^2           \displaystyle A=2in^2

To find our final answer, we need to add the areas together. 

\displaystyle 9in^2+2in^2=11in^2

Example Question #33 : Rectangles

What is the area of the figure below?


12

Possible Answers:

\displaystyle 83in^2

\displaystyle 48in^2

\displaystyle 45in&2

\displaystyle 73in^2

\displaystyle 35in^2

Correct answer:

\displaystyle 83in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

12.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=6\times 8            \displaystyle A=7\times 5

\displaystyle A=48in^2           \displaystyle A=35in^2

To find our final answer, we need to add the areas together. 

\displaystyle 48in^2+35in^2=83in^2

Example Question #251 : Geometric Measurement: Understanding Concepts Of Area And Relating Area To Multiplication And To Addition

What is the area of the figure below?

11

Possible Answers:

\displaystyle 45in^2

\displaystyle 18in^2

\displaystyle 21in^2

\displaystyle 42in^2

\displaystyle 39in^2

Correct answer:

\displaystyle 39in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

11.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=7\times 3            \displaystyle A=6\times 3

\displaystyle A=21in^2           \displaystyle A=18in^2

To find our final answer, we need to add the areas together. 

\displaystyle 21in^2+18in^2=39in^2

Example Question #252 : Geometric Measurement: Understanding Concepts Of Area And Relating Area To Multiplication And To Addition

What is the area of the figure below?

10

Possible Answers:

\displaystyle 26in^2

\displaystyle 58in&2

\displaystyle 52in^2

\displaystyle 40in^2

\displaystyle 28in^2

Correct answer:

\displaystyle 52in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

10.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=8\times 3            \displaystyle A=7\times 4

\displaystyle A=24in^2           \displaystyle A=28in^2

To find our final answer, we need to add the areas together. 

\displaystyle 24in^2+28in^2=52in^2

Example Question #231 : Problem Solving

What is the area of the figure below?

9

Possible Answers:

\displaystyle 57in^2

\displaystyle 126in^2

\displaystyle 90in^2

\displaystyle 36in^2

\displaystyle 82in^2

Correct answer:

\displaystyle 126in^2

Explanation:

To find the area of the figure above, we need to slip the figure into two rectangles. 

9.5

Using our area formula, \displaystyle A=l\times w, we can solve for the area of both of our rectangles

\displaystyle A=10\times 9            \displaystyle A=9\times 4

\displaystyle A=90in^2           \displaystyle A=36in^2

To find our final answer, we need to add the areas together. 

\displaystyle 90in^2+36in^2=126in^2

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