Common Core: 4th Grade Math : Solving for Length

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

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Example Questions

Example Question #51 : Solving For Length

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

 

Possible Answers:

\(\displaystyle 5m\)

\(\displaystyle 7m\)

\(\displaystyle 6m\)

\(\displaystyle 8m\)

\(\displaystyle 9m\)

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. 

\(\displaystyle 16=l\times 2\)

\(\displaystyle \frac{16}{2}=\frac{l\times 2}{2}\)

\(\displaystyle 8=l\)

Example Question #52 : Solving For Length

What is the length of a rectangular yard with an area of \(\displaystyle 20m^2\) and a width of \(\displaystyle 5m?\)

 

Possible Answers:

\(\displaystyle 3m\)

\(\displaystyle 1m\)

\(\displaystyle 2m\)

\(\displaystyle 5m\)

\(\displaystyle 4m\)

Correct answer:

\(\displaystyle 4m\)

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. 

\(\displaystyle 20=l\times 5\)

\(\displaystyle \frac{20}{5}=\frac{l\times 5}{5}\)

\(\displaystyle 4=l\)

Example Question #85 : How To Find The Area Of A Rectangle

What is the length of a rectangular yard with an area of \(\displaystyle 24m^2\) and a width of \(\displaystyle 4m?\)

 

Possible Answers:

\(\displaystyle 6m\)

\(\displaystyle 7m\)

\(\displaystyle 8m\)

\(\displaystyle 10m\)

\(\displaystyle 9m\)

Correct answer:

\(\displaystyle 6m\)

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. 

\(\displaystyle 24=l\times 4\)

\(\displaystyle \frac{24}{4}=\frac{l\times 4}{4}\)

\(\displaystyle 6=l\)

Example Question #121 : Plane Geometry

What is the length of a rectangular yard with an area of \(\displaystyle 25m^2\) and a width of \(\displaystyle 5m?\)

 

Possible Answers:

\(\displaystyle 8m\)

\(\displaystyle 6m\)

\(\displaystyle 4m\)

\(\displaystyle 5m\)

\(\displaystyle 7m\)

Correct answer:

\(\displaystyle 5m\)

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. 

\(\displaystyle 25=l\times 5\)

\(\displaystyle \frac{25}{5}=\frac{l\times 5}{5}\)

\(\displaystyle 5=l\)

Example Question #192 : Geometry

What is the length of a rectangular yard with an area of \(\displaystyle 27m^2\) and a width of \(\displaystyle 3m?\)

 

Possible Answers:

\(\displaystyle 7m\)

\(\displaystyle 9m\)

\(\displaystyle 10m\)

\(\displaystyle 8m\)

\(\displaystyle 11m\)

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. 

\(\displaystyle 27=l\times 3\)

\(\displaystyle \frac{27}{3}=\frac{l\times 3}{3}\)

\(\displaystyle 9=l\)

Example Question #88 : How To Find The Area Of A Rectangle

What is the length of a rectangular yard with an area of \(\displaystyle 28m^2\) and a width of \(\displaystyle 4m?\)

 

Possible Answers:

\(\displaystyle 5m\)

\(\displaystyle 8m\)

\(\displaystyle 7m\)

\(\displaystyle 6m\)

\(\displaystyle 4m\)

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. 

\(\displaystyle 28=l\times 4\)

\(\displaystyle \frac{28}{4}=\frac{l\times 4}{4}\)

\(\displaystyle 7=l\)

Example Question #191 : Plane Geometry

What is the length of a rectangular yard with an area of \(\displaystyle 30m^2\) and a width of \(\displaystyle 5m?\)

 

Possible Answers:

\(\displaystyle 3m\)

\(\displaystyle 2m\)

\(\displaystyle 6m\)

\(\displaystyle 4m\)

\(\displaystyle 5m\)

Correct answer:

\(\displaystyle 6m\)

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. 

\(\displaystyle 30=l\times 5\)

\(\displaystyle \frac{30}{5}=\frac{l\times 5}{5}\)

\(\displaystyle 6=l\)

Example Question #90 : How To Find The Area Of A Rectangle

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

 

Possible Answers:

\(\displaystyle 13m\)

\(\displaystyle 8m\)

\(\displaystyle 9m\)

\(\displaystyle 12m\)

\(\displaystyle 10m\)

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 #53 : Solving For Length

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

 

Possible Answers:

\(\displaystyle 12m\)

\(\displaystyle 9m\)

\(\displaystyle 11m\)

\(\displaystyle 10m\)

\(\displaystyle 8m\)

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 #231 : Geometry

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

 

Possible Answers:

\(\displaystyle 9m\)

\(\displaystyle 10m\)

\(\displaystyle 8m\)

\(\displaystyle 11m\)

\(\displaystyle 7m\)

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. 

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

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

\(\displaystyle 7=l\)

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