Common Core: 3rd Grade Math : Find Areas of Rectilinear Figures: CCSS.Math.Content.3.MD.C.7d

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

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Example Questions

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

What is the area of the figure below?

 12

Possible Answers:

\(\displaystyle 47in^2\)

\(\displaystyle 24in^2\)

\(\displaystyle 35in^2\)

\(\displaystyle 52in^2\)

\(\displaystyle 59in^2\)

Correct answer:

\(\displaystyle 59in^2\)

Explanation:

To find the area of the figure above, we need to split 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

\(\displaystyle A=7\times 5\)            \(\displaystyle A=6\times 4\)

\(\displaystyle A=35in^2\)           \(\displaystyle A=24in^2\)

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

\(\displaystyle 35in^2+24in^2=59in^2\)

 

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

What is the area of the figure below?

11

 

Possible Answers:

\(\displaystyle 12in^2\)

\(\displaystyle 28in^2\)

\(\displaystyle 22in^2\)

\(\displaystyle 10in^2\)

\(\displaystyle 32in^2\)

Correct answer:

\(\displaystyle 22in^2\)

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

\(\displaystyle A=6\times 2\)            \(\displaystyle A=5\times 2\)

\(\displaystyle A=12in^2\)           \(\displaystyle A=10in^2\)

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

\(\displaystyle 12in^2+10in^2=22in^2\)

Example Question #411 : Measurement & Data

What is the area of the figure below?

10

Possible Answers:

\(\displaystyle 32in^2\)

\(\displaystyle 18in^2\)

\(\displaystyle 28in^2\)

\(\displaystyle 14in^2\)

\(\displaystyle 40in^2\)

Correct answer:

\(\displaystyle 32in^2\)

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

\(\displaystyle A=7\times 2\)            \(\displaystyle A=6\times 3\)

\(\displaystyle A=14in^2\)           \(\displaystyle A=18in^2\)

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

\(\displaystyle 14in^2+18in^2=32in^2\)

Example Question #2 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?


9

Possible Answers:

\(\displaystyle 72in^2\)

\(\displaystyle 96in^2\)

\(\displaystyle 24in^2\)

\(\displaystyle 112in^2\)

\(\displaystyle 100in^2\)

Correct answer:

\(\displaystyle 96in^2\)

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

\(\displaystyle A=9\times 8\)            \(\displaystyle A=8\times 3\)

\(\displaystyle A=72in^2\)           \(\displaystyle A=24in^2\)

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

\(\displaystyle 72in^2+24in^2=96in^2\)

Example Question #412 : Measurement & Data

What is the area of the figure below?

8

Possible Answers:

\(\displaystyle 28in^2\)

\(\displaystyle 32in^2\)

\(\displaystyle 8in^2\)

\(\displaystyle 12in^2\)

\(\displaystyle 24in^2\)

Correct answer:

\(\displaystyle 32in^2\)

Explanation:

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

8.5

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

\(\displaystyle A=4\times 6\)            \(\displaystyle A=4\times 2\)

\(\displaystyle A=24in^2\)           \(\displaystyle A=8in^2\)

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

\(\displaystyle 24in^2+8in^2=32in^2\)

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

What is the area of the figure below?

7

Possible Answers:

\(\displaystyle 25in^2\)

\(\displaystyle 9in^2\)

\(\displaystyle 36in^2\)

\(\displaystyle 18in^2\)

\(\displaystyle 34in^2\)

Correct answer:

\(\displaystyle 34in^2\)

Explanation:

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

7.5

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

\(\displaystyle A=5\times 5\)            \(\displaystyle A=3\times 3\)

\(\displaystyle A=25in^2\)           \(\displaystyle A=9in^2\)

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

\(\displaystyle 25in^2+9in^2=34in^2\)

Example Question #4 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?


6

Possible Answers:

\(\displaystyle 48in^2\)

\(\displaystyle 40in^2\)

\(\displaystyle 36in^2\)

\(\displaystyle 44in^2\)

\(\displaystyle 8in^2\)

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 #71 : Geometry

What is the area of the figure below?


5

Possible Answers:

\(\displaystyle 31in^2\)

\(\displaystyle 35in^2\)

\(\displaystyle 22in^2\)

\(\displaystyle 9in^2\)

\(\displaystyle 40in^2\)

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 #261 : Plane Geometry

What is the area of the figure below?


4

Possible Answers:

\(\displaystyle 62in^2\)

\(\displaystyle 24in^2\)

\(\displaystyle 68in^2\)

\(\displaystyle 64in^2\)

\(\displaystyle 40in^2\)

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 #72 : Geometry

What is the area of the figure below?

3

Possible Answers:

\(\displaystyle 18n^2\)

\(\displaystyle 4in^2\)

\(\displaystyle 24in^2\)

\(\displaystyle 28in^2\)

\(\displaystyle 16in^2\)

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. 

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

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