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ISEE Lower Level Quantitative : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #79 : Parallelograms

What is the length of a rectangular room with an area of 60ft^2 $\displaystyle 60ft^2$ and a width of 12ft? $\displaystyle 12ft?$

Possible Answers:

7ft $\displaystyle 7ft$

4ft $\displaystyle 4ft$

6ft $\displaystyle 6ft$

5ft $\displaystyle 5ft$

8ft $\displaystyle 8ft$

Correct answer:

5ft $\displaystyle 5ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$60=l\times 12$ $\displaystyle 60=l\times 12$

$\frac{60}{12}=\frac{l\times 12}{12}$ $\displaystyle \frac{60}{12}=\frac{l\times 12}{12}$

5=l $\displaystyle 5=l$

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Example Question #80 : Parallelograms

What is the length of a rectangular room with an area of 63ft^2 $\displaystyle 63ft^2$ and a width of 7ft? $\displaystyle 7ft?$

Possible Answers:

4ft $\displaystyle 4ft$

8ft $\displaystyle 8ft$

9ft $\displaystyle 9ft$

7ft $\displaystyle 7ft$

5ft $\displaystyle 5ft$

Correct answer:

9ft $\displaystyle 9ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$63=l\times 7$ $\displaystyle 63=l\times 7$

$\frac{63}{7}=\frac{l\times 7}{7}$ $\displaystyle \frac{63}{7}=\frac{l\times 7}{7}$

9=l $\displaystyle 9=l$

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Example Question #135 : How To Find The Area Of A Rectangle

What is the length of a rectangular room with an area of 55ft^2 $\displaystyle 55ft^2$ and a width of 11ft? $\displaystyle 11ft?$

Possible Answers:

6ft $\displaystyle 6ft$

8ft $\displaystyle 8ft$

5ft $\displaystyle 5ft$

9ft $\displaystyle 9ft$

7ft $\displaystyle 7ft$

Correct answer:

5ft $\displaystyle 5ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$55=l\times 11$ $\displaystyle 55=l\times 11$

$\frac{55}{11}=\frac{l\times 11}{11}$ $\displaystyle \frac{55}{11}=\frac{l\times 11}{11}$

5=l $\displaystyle 5=l$

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Example Question #202 : Plane Geometry

What is the length of a rectangular room with an area of 70ft^2 $\displaystyle 70ft^2$ and a width of 7ft? $\displaystyle 7ft?$

Possible Answers:

13ft $\displaystyle 13ft$

10ft $\displaystyle 10ft$

11ft $\displaystyle 11ft$

9ft $\displaystyle 9ft$

12ft $\displaystyle 12ft$

Correct answer:

10ft $\displaystyle 10ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$70=l\times 7$ $\displaystyle 70=l\times 7$

$\frac{70}{7}=\frac{l\times 7}{7}$ $\displaystyle \frac{70}{7}=\frac{l\times 7}{7}$

10=l $\displaystyle 10=l$

Report an Error

Example Question #203 : Plane Geometry

What is the length of a rectangular room with an area of 48ft^2 $\displaystyle 48ft^2$ and a width of 6ft? $\displaystyle 6ft?$

Possible Answers:

7ft $\displaystyle 7ft$

10ft $\displaystyle 10ft$

6ft $\displaystyle 6ft$

8ft $\displaystyle 8ft$

9ft $\displaystyle 9ft$

Correct answer:

8ft $\displaystyle 8ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$48=l\times 6$ $\displaystyle 48=l\times 6$

$\frac{48}{6}=\frac{l\times 6}{6}$ $\displaystyle \frac{48}{6}=\frac{l\times 6}{6}$

8=l $\displaystyle 8=l$

Report an Error

Example Question #204 : Plane Geometry

What is the length of a rectangular room with an area of 45ft^2 $\displaystyle 45ft^2$ and a width of 5ft? $\displaystyle 5ft?$

Possible Answers:

9ft $\displaystyle 9ft$

7ft $\displaystyle 7ft$

6ft $\displaystyle 6ft$

8ft $\displaystyle 8ft$

10ft $\displaystyle 10ft$

Correct answer:

9ft $\displaystyle 9ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$45=l\times 5$ $\displaystyle 45=l\times 5$

$\frac{45}{5}=\frac{l\times 5}{5}$ $\displaystyle \frac{45}{5}=\frac{l\times 5}{5}$

9=l $\displaystyle 9=l$

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Example Question #91 : Plane Geometry

What is the length of a rectangular room with an area of 81ft^2 $\displaystyle 81ft^2$ and a width of 9ft? $\displaystyle 9ft?$

Possible Answers:

9ft $\displaystyle 9ft$

6ft $\displaystyle 6ft$

5ft $\displaystyle 5ft$

7ft $\displaystyle 7ft$

8ft $\displaystyle 8ft$

Correct answer:

9ft $\displaystyle 9ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$81=l\times 9$ $\displaystyle 81=l\times 9$

$\frac{81}{9}=\frac{l\times 9}{9}$ $\displaystyle \frac{81}{9}=\frac{l\times 9}{9}$

9=l $\displaystyle 9=l$

Report an Error

Example Question #92 : Plane Geometry

What is the length of a rectangular room with an area of 72ft^2 $\displaystyle 72ft^2$ and a width of 9ft? $\displaystyle 9ft?$

Possible Answers:

9ft $\displaystyle 9ft$

8ft $\displaystyle 8ft$

10ft $\displaystyle 10ft$

12ft $\displaystyle 12ft$

11ft $\displaystyle 11ft$

Correct answer:

8ft $\displaystyle 8ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$72=l\times 9$ $\displaystyle 72=l\times 9$

$\frac{72}{9}=\frac{l\times 9}{9}$ $\displaystyle \frac{72}{9}=\frac{l\times 9}{9}$

8=l $\displaystyle 8=l$

Report an Error

Example Question #115 : Solve Problems Involving Measurement And Conversion Of Measurements

What is the length of a rectangular room with an area of 90ft^2 $\displaystyle 90ft^2$ and a width of 9ft? $\displaystyle 9ft?$

Possible Answers:

10ft $\displaystyle 10ft$

12ft $\displaystyle 12ft$

9ft $\displaystyle 9ft$

13ft $\displaystyle 13ft$

11ft $\displaystyle 11ft$

Correct answer:

10ft $\displaystyle 10ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$90=l\times 9$ $\displaystyle 90=l\times 9$

$\frac{90}{9}=\frac{l\times 9}{9}$ $\displaystyle \frac{90}{9}=\frac{l\times 9}{9}$

10=l $\displaystyle 10=l$

Report an Error

Example Question #116 : Solve Problems Involving Measurement And Conversion Of Measurements

What is the length of a rectangular room with an area of 40ft^2 $\displaystyle 40ft^2$ and a width of 8ft? $\displaystyle 8ft?$

Possible Answers:

7ft $\displaystyle 7ft$

5ft $\displaystyle 5ft$

4ft $\displaystyle 4ft$

6ft $\displaystyle 6ft$

3ft $\displaystyle 3ft$

Correct answer:

5ft $\displaystyle 5ft$

Explanation:

$A=l\times w$ $\displaystyle A=l\times w$

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

$40=l\times 8$ $\displaystyle 40=l\times 8$

$\frac{40}{8}=\frac{l\times 8}{8}$ $\displaystyle \frac{40}{8}=\frac{l\times 8}{8}$

5=l $\displaystyle 5=l$

Report an Error

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #79 : Parallelograms

Example Question #80 : Parallelograms

Example Question #135 : How To Find The Area Of A Rectangle

Example Question #202 : Plane Geometry

Example Question #203 : Plane Geometry

Example Question #204 : Plane Geometry

Example Question #91 : Plane Geometry

Example Question #92 : Plane Geometry

Example Question #115 : Solve Problems Involving Measurement And Conversion Of Measurements

Example Question #116 : Solve Problems Involving Measurement And Conversion Of Measurements

All ISEE Lower Level Quantitative Resources

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