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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 #41 : Quadrilaterals

A square stamp has an edge length of 6 centimeters, what is its area?

Possible Answers:

54cm^2

24cm^2

36cm^2

12cm^2

Correct answer:

36cm^2

Explanation:

A square stamp has an edge length of 6 centimeters, what is its area?

To find the area of a square, simply square the side length:

$A_{square}=s^2=(6cm)^2=36cm^2$

So our answer is

36cm^2

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Example Question #42 : Quadrilaterals

If you have a square deck, what is the area when one of the sides is feet?

Possible Answers:

100ft^2

40ft^2

50ft^2

20ft^2

Correct answer:

100ft^2

Explanation:

The area of a square is the side length square, or multiplied by itself,

A=s^2

meaning your answer must be,

s=10

$A=10^{2}=100ft^2$ .

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Example Question #133 : Geometry

A city block is a perfect square with sides of $\frac{1}{2}mile$ .

What is the area of the city block?

Possible Answers:

$\frac{1}{8}mi^2$

$\frac{1}{2}mi^2$

$\frac{1}{4}mi^2$

1mi^2

Correct answer:

$\frac{1}{4}mi^2$

Explanation:

A city block is a perfect square with sides of $\frac{1}{2}mile$ .

What is the area of the city block?

To find the area of a square, take the side length and square it.

$A_{square}=s^2=(\frac{1}{2}mi)^2=\frac{1}{2}mi*\frac{1}{2}mi=\frac{1}{4}mi^2$

So, we get:

$\frac{1}{4}mi^2$

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Example Question #134 : Geometry

Find the area of a square with a base of length 13 inches.

Possible Answers:

$26\text{in}$

$169\text{in}$

$169\text{in}^2$

$52\text{in}^2$

$52\text{in}$

Correct answer:

$169\text{in}^2$

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 has a length of 13 inches. Because it is a square, we know that all sides are equal. Therefore, the width is also 13 inches. Knowing this, we can substitute into the formula. We get

$\text{area of square} = 13\text{in} \cdot 13\text{in}$

$\text{area of square} = 169\text{in}^2$

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Example Question #18 : How To Find The Area Of A Square

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

Possible Answers:

$32\text{in}^2$

$64\text{in}^2$

$32\text{in}$

$16\text{in}^2$

$64\text{in}$

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 #141 : Plane Geometry

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

Possible Answers:

$48\text{in}^2$

$144\text{in}$

$144\text{in}^2$

$48\text{in}$

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

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

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

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

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Example Question #142 : Plane Geometry

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

Possible Answers:

$20\text{ft}^2$

$10\text{ft}^2$

$25\text{ft}^2$

$15\text{ft}^2$

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

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

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

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

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Example Question #143 : Plane Geometry

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

Possible Answers:

$96\text{cm}^2$

$24\text{cm}^2$

$48\text{cm}^2$

$144\text{cm}^2$

$121\text{cm}^2$

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

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

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

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Example Question #144 : Plane Geometry

Use the following image to answer the question:

Square3

Find the area of the square.

Possible Answers:

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

$32\text{cm}^2$

$64\text{cm}^2$

$24\text{cm}^2$

$16\text{cm}^2$

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

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

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

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Example Question #145 : Plane Geometry

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

Possible Answers:

$22\text{in}^2$

$44\text{in}^2$

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

$121\text{in}^2$

$100\text{in}^2$

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

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

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

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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 #41 : Quadrilaterals

Example Question #42 : Quadrilaterals

Example Question #133 : Geometry

Example Question #134 : Geometry

Example Question #18 : How To Find The Area Of A Square

Example Question #141 : Plane Geometry

Example Question #142 : Plane Geometry

Example Question #143 : Plane Geometry

Example Question #144 : Plane Geometry

Example Question #145 : Plane Geometry

All ISEE Middle Level Math Resources

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