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ISEE Middle Level Math : Squares

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Example Questions

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Example Question #11 : Quadrilaterals

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

What is the perimeter of the city block?

Possible Answers:

2mi

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

1mi^2

1mi

Correct answer:

2mi

Explanation:

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

What is the perimeter of the city block?

To find the perimeter of a square, simply multiply the side length by 4:

$A=4*\frac{1}{2}mi=\frac{4}{2}mi=2mi$

So our answer is 2 miles

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Example Question #11 : Squares

Find the perimeter of a square with a length of 7in.

Possible Answers:

$14\text{in}$

$21\text{in}$

$28\text{in}$

$32\text{in}$

$49\text{in}$

Correct answer:

$28\text{in}$

Explanation:

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

$\text{perimeter of square} =a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the length of the square is 7in. Because it is a square, we know all sides are equal. Therefore, all sides are 7in.

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

$\text{perimeter of square} = 7\text{in} +7\text{in} +7\text{in} +7\text{in}$

$\text{perimeter of square} = 28\text{in}$

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Example Question #13 : How To Find The Perimeter Of Square

Use the following image to answer the question:

Square3

Find the perimeter of the square.

Possible Answers:

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

$64\text{cm}$

$16\text{cm}$

$24\text{cm}$

$32\text{cm}$

Correct answer:

$32\text{cm}$

Explanation:

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

$\text{perimeter of square} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

Now, let's look at the given square.

Square3

We can see that one side is 8cm. Because it is a square, all sides are equal. Therefore, all sides are 8cm.

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

$\text{perimeter of square} = 8\text{cm} + 8\text{cm} + 8\text{cm} + 8\text{cm}$

$\text{perimeter of square} = 32\text{cm}$

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Example Question #14 : How To Find The Perimeter Of Square

Find the perimeter of a square with a length of 9cm.

Possible Answers:

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

$18\text{cm}$

$27\text{cm}$

$81\text{cm}$

$36\text{cm}$

Correct answer:

$36\text{cm}$

Explanation:

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

$\text{perimeter of square} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the length of the square is 9cm. Because it is a square, all of the sides are equal. Therefore, all sides are 9cm.

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

$\text{perimeter of square} = 9\text{cm} + 9\text{cm} + 9\text{cm} + 9\text{cm}$

$\text{perimeter of square} = 36\text{cm}$

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Example Question #12 : Squares

Use the following square to answer the question:

Square2

Find the perimeter.

Possible Answers:

$56\text{cm}$

$48\text{cm}$

$28\text{cm}$

$196\text{cm}$

$108\text{cm}$

Correct answer:

$56\text{cm}$

Explanation:

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

$\text{perimeter of square} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

Now, given the square

Square2

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

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

$\text{perimeter of square} = 14\text{cm} + 14\text{cm} + 14\text{cm} + 14\text{cm}$

$\text{perimeter of square} = 56\text{cm}$

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Example Question #11 : Squares

Find the perimeter of a square that has a length of 15in.

Possible Answers:

$225\text{in}$

$45\text{in}$

$60\text{in}$

$30\text{in}$

$125\text{in}$

Correct answer:

$60\text{in}$

Explanation:

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

$\text{perimeter of square} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

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

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

$\text{perimeter of square} = 15\text{in} +15\text{in} +15\text{in} +15\text{in}$

$\text{perimeter of square} = 60\text{in}$

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Example Question #17 : How To Find The Perimeter Of Square

Find the perimeter of a square with a length of 24in.

Possible Answers:

$36\text{in}$

$246\text{in}$

$128\text{in}$

$48\text{in}$

$96\text{in}$

Correct answer:

$96\text{in}$

Explanation:

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

$\text{perimeter of square} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the length of the square is 24in. Because it is a square, all sides are equal. Therefore, all sides are 24in.

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

$\text{perimeter of square} = 24\text{in} +24\text{in} +24\text{in} +24\text{in}$

$\text{perimeter of square} = 96\text{in}$

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Example Question #18 : How To Find The Perimeter Of Square

Find the perimeter of a square with a width of 19in.

Possible Answers:

$62\text{in}$

$84\text{in}$

$76\text{in}$

$56\text{in}$

$38\text{in}$

Correct answer:

$76\text{in}$

Explanation:

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

P = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

Now, we know the width of the square is 19in. Because it is a square, all sides are equal. Therefore, all sides are 19in. Knowing this, we can substitute into the formula. We get

$P = 19\text{in} +19\text{in} +19\text{in} +19\text{in}$

$P = 76\text{in}$

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Example Question #19 : How To Find The Perimeter Of Square

Find the perimeter of a square with a width of 8in.

Possible Answers:

$16\text{in}$

$48\text{in}$

$64\text{in}$

$24\text{in}$

$32\text{in}$

Correct answer:

$32\text{in}$

Explanation:

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

P = a+b+c+d

where a, b, c, and d are the lengths of the sides of the square.

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

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

$P = 8\text{in} + 8\text{in} + 8\text{in} + 8\text{in}$

$P = 32\text{in}$

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Example Question #20 : How To Find The Perimeter Of Square

The perimeter of a square is 56in. Find the length of one side.

Possible Answers:

$28\text{in}$

$18\text{in}$

$24\text{in}$

$13\text{in}$

$14\text{in}$

Correct answer:

$14\text{in}$

Explanation:

To find the perimeter of a square, we use this formula

P = 4a

where a is the length of one side. A square has 4 equal sides. That is why we multiply the length of one side by 4. To find the length of one side, we will solve for a.

Now, we know the perimeter of the square is 56in. So, we can substitute. We get

$56\text{in} =4a$

$\frac{56\text{in}}{4} = \frac{4a}{4}$

$14\text{in} = a$

$a=14\text{in}$

Therefore, the length of one side of the square is 14in.

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ISEE Middle Level Math : Squares

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #11 : Quadrilaterals

Example Question #11 : Squares

Example Question #13 : How To Find The Perimeter Of Square

Example Question #14 : How To Find The Perimeter Of Square

Example Question #12 : Squares

Example Question #11 : Squares

Example Question #17 : How To Find The Perimeter Of Square

Example Question #18 : How To Find The Perimeter Of Square

Example Question #19 : How To Find The Perimeter Of Square

Example Question #20 : How To Find The Perimeter Of Square

All ISEE Middle Level Math Resources

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