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ISEE Middle Level Math : Geometry

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

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All ISEE Middle Level Math Resources

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

Example Questions

Example Question #44 : Quadrilaterals

Find the area of a square with a base of length 8 inches.

Possible Answers:

$64\text{in}^2$

$16\text{in}^2$

$64\text{in}$

$32\text{in}^2$

$32\text{in}$

Correct answer:

$64\text{in}^2$

Explanation:

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

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

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

Now, we know the base has a length of 8 inches. Because it is a square, we know that all sides are equal. Therefore, all sides have a length of 8 inches. This means the width is also 8 inches. Knowing this, we can substitute into the formula. We get

$\text{area of square} = 8\text{in} \cdot 8\text{in}$

$\text{area of square} = 64\text{in}^2$

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Example Question #45 : Quadrilaterals

Find the area of a square with a base of 12 inches.

Possible Answers:

$144\text{in}$

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

$48\text{in}$

$144\text{in}^2$

$48\text{in}^2$

Correct answer:

$144\text{in}^2$

Explanation:

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

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

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

Now, we know the base of the square is 12in. Because it is a square, we know that all sides are equal. Which means all sides are 12in. Therefore, the width is also 12in. Knowing this, we can substitute into the formula. We get

$\text{area of square} = 12\text{in} \cdot 12\text{in}$

$\text{area of square} = 144\text{in}^2$

Report an Error

Example Question #46 : Quadrilaterals

Find the area of a square with a width of 5 feet.

Possible Answers:

$10\text{ft}^2$

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

$25\text{ft}^2$

$15\text{ft}^2$

$20\text{ft}^2$

Correct answer:

$25\text{ft}^2$

Explanation:

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

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

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

Now, we know the width is 5 feet. Because it is a square, all sides are equal. This means the length is also 5 feet.

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

$\text{area of square} = 5\text{ft} \cdot 5\text{ft}$

$\text{area of square} = 25\text{ft}^2$

Report an Error

Example Question #47 : Quadrilaterals

Find the area of a square with a width of 12cm.

Possible Answers:

$24\text{cm}^2$

$121\text{cm}^2$

$96\text{cm}^2$

$48\text{cm}^2$

$144\text{cm}^2$

Correct answer:

$144\text{cm}^2$

Explanation:

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

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

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

Now, we know the width of the square is 12cm. Because it is a square, all sides are equal. Therefore, the length is also 12cm.

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

$\text{area of square} = 12\text{cm} \cdot 12\text{cm}$

$\text{area of square} = 144\text{cm}^2$

Report an Error

Example Question #48 : Quadrilaterals

Use the following image to answer the question:

Square3

Find the area of the square.

Possible Answers:

$24\text{cm}^2$

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

$32\text{cm}^2$

$16\text{cm}^2$

$64\text{cm}^2$

Correct answer:

$64\text{cm}^2$

Explanation:

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

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

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

Now, let's look at the given square.

Square3

We can see the width is 8cm. Because it is a square, we know that all sides are equal. Therefore, the width is also 8cm.

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

$\text{area of square} = 8\text{cm} \cdot 8\text{cm}$

$\text{area of square} = 64\text{cm}^2$

Report an Error

Example Question #49 : Quadrilaterals

Find the area of a square with a length of 11in.

Possible Answers:

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

$121\text{in}^2$

$44\text{in}^2$

$22\text{in}^2$

$100\text{in}^2$

Correct answer:

$121\text{in}^2$

Explanation:

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

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

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

Now, we know the length of the square is 11in. Because it is a square, all sides are equal. Therefore, the width is also 11in.

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

$\text{area of square} = 11\text{in} \cdot 11\text{in}$

$\text{area of square} = 121\text{in}^2$

Report an Error

Example Question #26 : How To Find The Area Of A Square

Use the following square to answer the question:

Square2

Find the area.

Possible Answers:

$56\text{cm}^2$

$108\text{cm}^2$

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

$28\text{cm}^2$

$196\text{cm}^2$

Correct answer:

$196\text{cm}^2$

Explanation:

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

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

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

Now, given the square

Square2

we can see the length is 14cm. Because it is a square, all sides are equal. Therefore, the width is also 14cm.

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

$\text{area of square} = 14\text{cm} \cdot 14\text{cm}$

$\text{area of square} = 196\text{cm}^2$

Report an Error

Example Question #27 : How To Find The Area Of A Square

Find the area of a square with a length of 8in.

Possible Answers:

$56\text{in}^2$

$64\text{in}^2$

$32\text{in}^2$

$72\text{in}^2$

$24\text{in}^2$

Correct answer:

$64\text{in}^2$

Explanation:

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

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

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

So, we know the length of the square is 8in. Because it is a square, all sides are equal. Therefore, the width is also 8in.

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

$\text{area of square} = 8\text{in} \cdot 8\text{in}$

$\text{area of square} = 64\text{in}^2$

Report an Error

Example Question #51 : Quadrilaterals

Find the area of a square that has a width of 15in.

Possible Answers:

$225\text{in}^2$

$60\text{in}^2$

$125\text{in}^2$

$45\text{in}^2$

$30\text{in}^2$

Correct answer:

$225\text{in}^2$

Explanation:

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

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

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

Now, we know the width of the square is 15in. Because it is a square, all sides are equal. Therefore, the length is also 15in.

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

$\text{area of square} = 15\text{in} \cdot 15\text{in}$

$\text{area of square} = 225\text{in}^2$

Report an Error

Example Question #52 : Quadrilaterals

Find the area of a square with a base of 18cm.

Possible Answers:

$124\text{cm}^2$

$36\text{cm}^2$

$324\text{cm}^2$

$248\text{cm}^2$

$72\text{cm}^2$

Correct answer:

$324\text{cm}^2$

Explanation:

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

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

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

Now, we know the base of the square is 18cm. Because it is a square, all sides are equal. Therefore, the length is also 18cm.

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

$\text{area of square} = 18\text{cm} \cdot 18\text{cm}$

$\text{area of square} = 324\text{cm}^2$

Report an Error

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Geometry

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #44 : Quadrilaterals

Example Question #45 : Quadrilaterals

Example Question #46 : Quadrilaterals

Example Question #47 : Quadrilaterals

Example Question #48 : Quadrilaterals

Example Question #49 : Quadrilaterals

Example Question #26 : How To Find The Area Of A Square

Example Question #27 : How To Find The Area Of A Square

Example Question #51 : Quadrilaterals

Example Question #52 : Quadrilaterals

All ISEE Middle Level Math Resources

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