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Pre-Algebra : Geometry

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #22 : Perimeter

Find the perimeter of a square with a length of $\frac{4}{7}$ .

Possible Answers:

$\frac{32}{7}$

$\frac{8}{7}$

$\frac{1}{7}$

$\frac{16}{11}$

$\frac{16}{7}$

Correct answer:

$\frac{16}{7}$

Explanation:

Write the formula to find the perimeter of a square.

P=4s

Substitute the side length.

$P=4\left(\frac{4}{7}\right) = \frac{16}{7}$

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Example Question #11 : Perimeter Of A Rectangle Or Square

If the diagonal of a square is $6\sqrt2$ , what is the perimeter?

Possible Answers:

$24\sqrt2$

$48\sqrt2$

Correct answer:

Explanation:

Write the formula to obtain the side given the diagonal for squares.

$s=\frac{d}{\sqrt2} = \frac{6\sqrt2}{\sqrt2} =6$

The perimeter of the square is four times the side.

The answer is .

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Example Question #12 : Perimeter Of A Rectangle Or Square

What is the perimeter of a square with a side length of x-2y ?

Possible Answers:

8x-y

4x-y

4x-8y

-4xy

8xy

Correct answer:

4x-8y

Explanation:

Write the formula to find the perimeter of a square.

P=4s

Substitute the side.

P=4(x-2y) = 4x-8y

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Example Question #13 : Perimeter Of A Rectangle Or Square

Find the perimeter of a square in feet if the side length is 8 inches.

Possible Answers:

384

$\frac{8}{3}$

Correct answer:

$\frac{8}{3}$

Explanation:

Convert the 8 inches to feet by dividing 12. There are 12 inches in a foot.

$8\textup{ inches }= \frac{8}{12} \textup{ foot} = \frac{2}{3}\textup{ foot}$

Write the formula for the perimeter of a square.

P=4s

Substitute the side.

$P=4 (\frac{2}{3}) = \frac{8}{3}$

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Example Question #14 : Perimeter Of A Rectangle Or Square

Determine the perimeter of a square with an area of 5.

Possible Answers:

$4\sqrt5$

$2\sqrt{5}$

$2\sqrt{10}$

Correct answer:

$4\sqrt5$

Explanation:

Write the formula for the area of a square.

A=s^2

Substitute the area and find the side.

5=s^2

$s=\sqrt5$

A square has four equal sides. Multiply this side by four.

$P=4s= 4\sqrt5$

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Example Question #15 : Perimeter Of A Rectangle Or Square

Find the perimeter of a square with a side of $2\pi +1$ .

Possible Answers:

$8\pi +4$

$8\pi +2$

$4\pi^2 +2$

$4\pi^2 +1$

$12\pi$

Correct answer:

$8\pi +4$

Explanation:

Write the perimeter formula for a square.

P=4s

Substitute the side. Remember to distribute the four to each term within the parentheses.

$P=4(2\pi +1) = 8\pi +4$

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Example Question #16 : Perimeter Of A Rectangle Or Square

Find the perimeter of a square with a side of 9x^2 .

Possible Answers:

81x^4

36x^4

36x^6

81x^2

36x^2

Correct answer:

36x^2

Explanation:

Since the square has four equal sides, the perimeter is four times the side of the square. Write the formula to find the perimeter of a square. The variable represents the side length.

P=4s

Substitute the side length into the formula.

$P=4(9x^2) = 4\cdot 9 \cdot x\cdot x =36x^2$

The area of the square is 36x^2 .

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Example Question #17 : Perimeter Of A Rectangle Or Square

If all sides of this square are equal, find its perimeter.

Perimeter

Possible Answers:

$7\ in$

$49\ in$

$14\ in$

$21\ in$

$28\ in$

Correct answer:

$28\ in$

Explanation:

The perimeter of a shape is the total length of all sides.

Perimeter

With this shape, we know that all of its sides are equal. So, we know that each side is 7 in.

Perimeter 2

Using the definition of perimeter, we will find the total length of all the sides. To do this, we simply add all the lengths together.

7 in + 7 in + 7 in + 7 in = 28 in

So, the perimeter of this square is 28 in.

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Example Question #18 : Perimeter Of A Rectangle Or Square

A squares sides measure inches each. What is its perimeter?

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of any object, simply add the length of each side together.

The best answer is:

$P=4s=4\times 3=12$

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Example Question #19 : Perimeter Of A Rectangle Or Square

A squares sides measure inches each. What is its perimeter?

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of any object, simply add the length of each side together.

The best answer is:

$P=s+s+s+s=4s=4\times 2=8$

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Pre-Algebra : Geometry

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #22 : Perimeter

Example Question #11 : Perimeter Of A Rectangle Or Square

Example Question #12 : Perimeter Of A Rectangle Or Square

Example Question #13 : Perimeter Of A Rectangle Or Square

Example Question #14 : Perimeter Of A Rectangle Or Square

Example Question #15 : Perimeter Of A Rectangle Or Square

Example Question #16 : Perimeter Of A Rectangle Or Square

Example Question #17 : Perimeter Of A Rectangle Or Square

Example Question #18 : Perimeter Of A Rectangle Or Square

Example Question #19 : Perimeter Of A Rectangle Or Square

All Pre-Algebra Resources

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