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ISEE Middle Level Quantitative : Plane Geometry

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

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All ISEE Middle Level Quantitative Resources

6 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #52 : Rectangles

What is the area of the figure below?

Possible Answers:

46in^2

77in^2

55in^2

25in^2

37in^2

Correct answer:

77in^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, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=5\times 5$ $A=13\times 4$

A=25in^2 A=52in^2

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

25in^2+52in^2=77in^2

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Example Question #41 : How To Find The Area Of A Figure

What is the area of the figure below?

Possible Answers:

132in^2

40in^2

118in^2

48in^2

70in^2

Correct answer:

118in^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, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=10\times 7$ $A=6\times 8$

A=70in^2 A=48in^2

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

70in^2+48in^2=118in^2

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Example Question #54 : Rectangles

What is the area of the figure below?

Possible Answers:

16in^2

58in^2

64in^2

28in^2

48in^2

Correct answer:

64in^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, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=12\times 4$ $A=4\times 4$

A=48in^2 A=16in^2

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

48in^2+16in^2=64in^2

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Example Question #55 : Rectangles

What is the area of the figure below?

Possible Answers:

50in^2

64in^2

18in^2

32in^2

72in^2

Correct answer:

50in^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, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=4\times 8$ $A=3\times 6$

A=32in^2 A=18in^2

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

32in^2+18in^2=50in^2

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Example Question #56 : Rectangles

What is the area of the figure below?

Possible Answers:

57in^2

51in^2

25in^2

43in^2

37in^2

Correct answer:

37in^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, $A=l\times w$ , we can solve for the area of both of our rectangles

$A=5\times 5$ $A=4\times 3$

A=25in^2 A=12in^2

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

25in^2+12in^2=37in^2

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Example Question #81 : Quadrilaterals

What is the length of a rectangular room with an area of 56ft^2 and a width of 7ft?

Possible Answers:

5ft

6ft

9ft

7ft

8ft

Correct answer:

8ft

Explanation:

$A=l\times w$

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

$56=l\times 7$

$\frac{56}{7}=\frac{l\times 7}{7}$

8=l

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Example Question #82 : Quadrilaterals

What is the length of a rectangular room with an area of 80ft^2 and a width of 8ft?

Possible Answers:

16ft

10ft

18ft

20ft

8ft

Correct answer:

10ft

Explanation:

$A=l\times w$

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

$80=l\times 8$

$\frac{80}{8}=\frac{l\times 8}{8}$

10=l

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Example Question #34 : Rectangles

What is the length of a rectangular room with an area of 100ft^2 and a width of 5ft?

Possible Answers:

25ft

10ft

15ft

30ft

20ft

Correct answer:

20ft

Explanation:

$A=l\times w$

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

$100=l\times 5$

$\frac{100}{5}=\frac{l\times 5}{5}$

20=l

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Example Question #71 : Parallelograms

What is the length of a rectangular room with an area of 120ft^2 and a width of 10ft?

Possible Answers:

12ft

11ft

8ft

9ft

14ft

Correct answer:

12ft

Explanation:

$A=l\times w$

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

$120=l\times 10$

$\frac{120}{10}=\frac{l\times 10}{10}$

12=l

Report an Error

Example Question #83 : Quadrilaterals

What is the length of a rectangular room with an area of 48ft^2 and a width of 8ft?

Possible Answers:

7ft

5ft

9ft

6ft

8ft

Correct answer:

6ft

Explanation:

$A=l\times w$

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

$48=l\times 8$

$\frac{48}{8}=\frac{l\times 8}{8}$

6=l

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All ISEE Middle Level Quantitative Resources

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ISEE Middle Level Quantitative : Plane Geometry

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #52 : Rectangles

Example Question #41 : How To Find The Area Of A Figure

Example Question #54 : Rectangles

Example Question #55 : Rectangles

Example Question #56 : Rectangles

Example Question #81 : Quadrilaterals

Example Question #82 : Quadrilaterals

Example Question #34 : Rectangles

Example Question #71 : Parallelograms

Example Question #83 : Quadrilaterals

All ISEE Middle Level Quantitative Resources

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