Common Core: 4th Grade Math : Measurement & Data

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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Example Questions

Example Question #202 : Geometry

What is the length of a rectangular yard with an area of \(\displaystyle 32m^2\) and a width of \(\displaystyle 4m?\)

 

Possible Answers:

\(\displaystyle 10m\)

\(\displaystyle 9m\)

\(\displaystyle 13m\)

\(\displaystyle 12m\)

\(\displaystyle 8m\)

Correct answer:

\(\displaystyle 8m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 32=l\times 4\)

\(\displaystyle \frac{32}{4}=\frac{l\times 4}{4}\)

\(\displaystyle 8=l\)

Example Question #181 : Measurement & Data

What is the length of a rectangular yard with an area of \(\displaystyle 33m^2\) and a width of \(\displaystyle 3m?\)

 

Possible Answers:

\(\displaystyle 10m\)

\(\displaystyle 12m\)

\(\displaystyle 11m\)

\(\displaystyle 9m\)

\(\displaystyle 8m\)

Correct answer:

\(\displaystyle 11m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 33=l\times 3\)

\(\displaystyle \frac{33}{3}=\frac{l\times 3}{3}\)

\(\displaystyle 11=l\)

Example Question #121 : Plane Geometry

What is the length of a rectangular yard with an area of \(\displaystyle 35m^2\) and a width of \(\displaystyle 5m?\)

 

Possible Answers:

\(\displaystyle 9m\)

\(\displaystyle 7m\)

\(\displaystyle 11m\)

\(\displaystyle 8m\)

\(\displaystyle 10m\)

Correct answer:

\(\displaystyle 7m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 35=l\times 5\)

\(\displaystyle \frac{35}{5}=\frac{l\times 5}{5}\)

\(\displaystyle 7=l\)

Example Question #232 : Plane Geometry

What is the length of a rectangular yard with an area of \(\displaystyle 36m^2\) and a width of \(\displaystyle 4m?\)

 

Possible Answers:

\(\displaystyle 10m\)

\(\displaystyle 8m\)

\(\displaystyle 12m\)

\(\displaystyle 9m\)

\(\displaystyle 11m\)

Correct answer:

\(\displaystyle 9m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 36=l\times 4\)

\(\displaystyle \frac{36}{4}=\frac{l\times 4}{4}\)

\(\displaystyle 9=l\)

Example Question #233 : Plane Geometry

What is the length of a rectangular yard with an area of \(\displaystyle 36m^2\) and a width of \(\displaystyle 3m?\)

 

Possible Answers:

\(\displaystyle 11m\)

\(\displaystyle 14m\)

\(\displaystyle 10m\)

\(\displaystyle 12m\)

\(\displaystyle 13m\)

Correct answer:

\(\displaystyle 12m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 36=l\times 3\)

\(\displaystyle \frac{36}{3}=\frac{l\times 3}{3}\)

\(\displaystyle 12=l\)

Example Question #241 : Plane Geometry

What is the length of a rectangular yard with an area of \(\displaystyle 14m^2\) and a width of \(\displaystyle 2m?\)

 

Possible Answers:

\(\displaystyle 4m\)

\(\displaystyle 8m\)

\(\displaystyle 6m\)

\(\displaystyle 5m\)

\(\displaystyle 7m\)

Correct answer:

\(\displaystyle 7m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 14=l\times 2\)

\(\displaystyle \frac{14}{2}=\frac{l\times 2}{2}\)

\(\displaystyle 7=l\)

Example Question #191 : Quadrilaterals

What is the length of a rectangular yard with an area of \(\displaystyle 16m^2\) and a width of \(\displaystyle 8m?\)

 

Possible Answers:

\(\displaystyle 4m\)

\(\displaystyle 5m\)

\(\displaystyle 6m\)

\(\displaystyle 3m\)

\(\displaystyle 2m\)

Correct answer:

\(\displaystyle 2m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 16=l\times 8\)

\(\displaystyle \frac{16}{8}=\frac{l\times 8}{8}\)

\(\displaystyle 2=l\)

Example Question #61 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

What is the length of a rectangular yard with an area of \(\displaystyle 24m^2\) and a width of \(\displaystyle 3m?\)

 

Possible Answers:

\(\displaystyle 5m\)

\(\displaystyle 6m\)

\(\displaystyle 8m\)

\(\displaystyle 4m\)

\(\displaystyle 7m\)

Correct answer:

\(\displaystyle 8m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 24=l\times 3\)

\(\displaystyle \frac{24}{3}=\frac{l\times 3}{3}\)

\(\displaystyle 8=l\)

Example Question #183 : Measurement & Data

What is the length of a rectangular yard with an area of \(\displaystyle 28m^2\) and a width of \(\displaystyle 14m?\)

 

Possible Answers:

\(\displaystyle 2m\)

\(\displaystyle 4m\)

\(\displaystyle 6m\)

\(\displaystyle 5m\)

\(\displaystyle 3m\)

Correct answer:

\(\displaystyle 2m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 28=l\times 14\)

\(\displaystyle \frac{28}{14}=\frac{l\times 14}{14}\)

\(\displaystyle 2=l\)

Example Question #91 : How To Find The Area Of A Rectangle

What is the length of a rectangular yard with an area of \(\displaystyle 30m^2\) and a width of \(\displaystyle 3m?\)

 

Possible Answers:

\(\displaystyle 6,\)

\(\displaystyle 7m\)

\(\displaystyle 8m\)

\(\displaystyle 9m\)

\(\displaystyle 10m\)

Correct answer:

\(\displaystyle 10m\)

Explanation:

\(\displaystyle A=l\times w\)

We have the area and the width, so we can plug those values into our equation and solve for our unknown. 

\(\displaystyle 30=l\times 3\)

\(\displaystyle \frac{30}{3}=\frac{l\times 3}{3}\)

\(\displaystyle 10=l\)

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