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ISEE Middle Level Quantitative : Rectangles

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

What is the area of the figure below?

Possible Answers:

28in^2

58in^2

16in^2

48in^2

64in^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 #32 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

18in^2

50in^2

64in^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 #33 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

What is the area of the figure below?

Possible Answers:

25in^2

51in^2

57in^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 #41 : Rectangles

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

Possible Answers:

5ft

6ft

7ft

9ft

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 #42 : Rectangles

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

Possible Answers:

10ft

18ft

16ft

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 #41 : How To Find The Area Of A Rectangle

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

Possible Answers:

30ft

10ft

25ft

20ft

15ft

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 #43 : Rectangles

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

Possible Answers:

12ft

14ft

9ft

11ft

8ft

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

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Example Question #81 : Plane Geometry

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

Possible Answers:

8ft

9ft

6ft

7ft

5ft

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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Example Question #44 : Rectangles

What is the length of a rectangular room with an area of 99ft^2 and a width of 9ft?

Possible Answers:

11ft

7ft

10ft

9ft

8ft

Correct answer:

11ft

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.

$99=l\times 9$

$\frac{99}{9}=\frac{l\times 9}{9}$

11=l

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Example Question #82 : Plane Geometry

What is the length of a rectangular room with an area of 72ft^2 and a width of 8ft?

Possible Answers:

11ft

10ft

9ft

12ft

13ft

Correct answer:

9ft

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.

$72=l\times 8$

$\frac{72}{8}=\frac{l\times 8}{8}$

9=l

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All ISEE Middle Level Quantitative Resources

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

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ISEE Middle Level Quantitative : Rectangles

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #31 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

Example Question #32 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

Example Question #33 : Find Areas Of Rectilinear Figures: Ccss.Math.Content.3.Md.C.7d

Example Question #41 : Rectangles

Example Question #42 : Rectangles

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

Example Question #43 : Rectangles

Example Question #81 : Plane Geometry

Example Question #44 : Rectangles

Example Question #82 : Plane Geometry

All ISEE Middle Level Quantitative Resources

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