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ISEE Middle Level Math : Quadrilaterals

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

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6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #197 : Geometry

Find the area of a rectangle with a length of 8cm and a width that is half the length.

Possible Answers:

$24\text{cm}$

$32\text{cm}^2$

$\text{There is not enough information to solve the problem.}$

$32\text{cm}$

$24\text{cm}^2$

Correct answer:

$32\text{cm}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 8cm. We also know the width of the rectangle is half of the length. Therefore the width is 4cm. Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 8\text{cm} \cdot 4\text{cm}$

$\text{area of rectangle} = 32\text{cm}^2$

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Example Question #198 : Geometry

Find the area of a rectangle with a width of 3in and a length that is three times the width.

Possible Answers:

$24\text{in}^2$

$9\text{in}^2$

$6\text{in}^2$

$27\text{in}^2$

$12\text{in}^2$

Correct answer:

$27\text{in}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the width of the rectangle is 3in. We also know the length is 3 times the width. Therefore, the length is 9in. Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 9\text{in} \cdot 3\text{in}$

$\text{area of rectangle} = 27\text{in}^2$

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Example Question #37 : How To Find The Area Of A Rectangle

Find the area of a rectangle with a length of 14in and a width that is half the length.

Possible Answers:

$21\text{in}^2$

$98\text{in}^2$

$7\text{in}^2$

$72\text{in}^2$

$42\text{in}^2$

Correct answer:

$98\text{in}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 14in. We also know the width of the rectangle is half the length. Therefore, the width is 7in.

Knowing this, we will substitute into the formula. We get

$\text{area of rectangle} = 14\text{in} \cdot 7\text{in}$

$\text{area of rectangle} = 98\text{in}^2$

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

Use the following image to answer the question:

Rectangle3

Find the area of the rectangle.

Possible Answers:

$63\text{in}^2$

$36\text{in}^2$

$54\text{in}^2$

$15\text{in}^2$

$30\text{in}^2$

Correct answer:

$54\text{in}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, let's look at the rectangle.

Rectangle3

We can see the length is 9 inches, and the width is 6 inches.

Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 9\text{in} \cdot 6\text{in}$

$\text{area of rectangle} = 54\text{in}^2$

Report an Error

Example Question #42 : How To Find The Area Of A Rectangle

Find the area of a rectangle with a width of 4in and a length that is three times the width.

Possible Answers:

$36\text{in}^2$

$12\text{in}^2$

$14\text{in}^2$

$32\text{in}^2$

$48\text{in}^2$

Correct answer:

$48\text{in}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the width of the rectangle is 4in. We also know the length of the rectangle is three times the width. Therefore, the length is 12in.

Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 12\text{in} \cdot 4\text{in}$

$\text{area of rectangle} = 48\text{in}^2$

Report an Error

Example Question #43 : How To Find The Area Of A Rectangle

Find the area of a rectangle with a width of 9cm and a length that is two times the width.

Possible Answers:

$32\text{cm}^2$

$128\text{cm}^2$

$162\text{cm}^2$

$24\text{cm}^2$

$18\text{cm}^2$

Correct answer:

$162\text{cm}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the width of the rectangle is 9cm. We also know the length of the rectangle is two times the width. Therefore, the length is 18cm.

Knowing this, we will substitute into the formula. We get

$\text{area of rectangle} = 18\text{cm} \cdot 9\text{cm}$

$\text{area of rectangle} = 162\text{cm}^2$

Report an Error

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

Find the area of a rectangle with a width of 4in and a length that is three times the width.

Possible Answers:

$24\text{in}^2$

$48\text{in}^2$

$12\text{in}^2$

$32\text{in}^2$

$17\text{in}^2$

Correct answer:

$48\text{in}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the width of the rectangle is 4in. We also know the length is three times the width. Therefore, the length is 12in.

Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 12\text{in} \cdot 4\text{in}$

$\text{area of rectangle} = 48\text{in}^2$

Report an Error

Example Question #42 : How To Find The Area Of A Rectangle

Find the area of a rectangle with a width of 3cm and a length that is three times the width.

Possible Answers:

$12\text{cm}^2$

$16\text{cm}^2$

$24\text{cm}^2$

$27\text{cm}^2$

$9\text{cm}^2$

Correct answer:

$27\text{cm}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

So, we know the width of the rectangle is 3cm. We also know the length is three times the width. Therefore, the length is 9cm.

Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 9\text{cm} \cdot 3\text{cm}$

$\text{area of rectangle} = 27\text{cm}^2$

Report an Error

Example Question #45 : Rectangles

Find the area of a rectangle with a length of 12cm and a width that is a quarter of the length.

Possible Answers:

$16\text{cm}^2$

$36\text{cm}^2$

$48\text{cm}^2$

$25\text{cm}^2$

$30\text{cm}^2$

Correct answer:

$36\text{cm}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 12cm. We also know the width of the rectangle is a quarter of the length. To find the width, we will divide 12 by 4. Therefore, the width the 3cm.

Knowing this, we will substitute into the formula. We get

$\text{area of rectangle} = 12\text{cm} \cdot 3\text{cm}$

$\text{area of rectangle} = 36\text{cm}^2$

Report an Error

Example Question #46 : Rectangles

Find the area of a rectangle with a width of 8in and a length that is two times the width.

Possible Answers:

$128\text{in}^2$

$48\text{in}^2$

$16\text{in}^2$

$114\text{in}^2$

$20\text{in}^2$

Correct answer:

$128\text{in}^2$

Explanation:

To find the area of a rectangle, we will use the following formula:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the width of the rectangle is 8in. We also know the length is two times the width. Therefore, the length is 16in.

Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 16\text{in} \cdot 8\text{in}$

$\text{area of rectangle} = 128\text{in}^2$

Report an Error

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ISEE Middle Level Math : Quadrilaterals

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #197 : Geometry

Example Question #198 : Geometry

Example Question #37 : How To Find The Area Of A Rectangle

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

Example Question #42 : How To Find The Area Of A Rectangle

Example Question #43 : How To Find The Area Of A Rectangle

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

Example Question #42 : How To Find The Area Of A Rectangle

Example Question #45 : Rectangles

Example Question #46 : Rectangles

All ISEE Middle Level Math Resources

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