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Basic Geometry : How to find the perimeter of a square

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Example Questions

Example Question #1 : How To Find The Perimeter Of A Square

The length of one side of a square is 6 inches. What is the perimeter of the square?

Possible Answers:

$\displaystyle 36$

$\displaystyle 20$

$\displaystyle 16$

$\displaystyle 12$

$\displaystyle 24$

Correct answer:

$\displaystyle 24$

Explanation:

To find the perimeter of a square, multiply one of its sides by 4.

$6\cdot 4=24$ $\displaystyle 6\cdot 4=24$

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Example Question #2 : How To Find The Perimeter Of A Square

The area of square ABCD $\displaystyle ABCD$ is 196 square centimeters. What is the perimeter of ABCD $\displaystyle ABCD$?

Possible Answers:

$14\ cm$ $\displaystyle 14\ cm$

$56\ cm$ $\displaystyle 56\ cm$

$28\ cm$ $\displaystyle 28\ cm$

Cannot be determined.

$49\ cm$ $\displaystyle 49\ cm$

Correct answer:

$56\ cm$ $\displaystyle 56\ cm$

Explanation:

We know that $area=length\cdot width$ $\displaystyle area=length\cdot width$.

We also know that since ABCD $\displaystyle ABCD$ is a square, all of its sides are of equal length.

To get the measure of any one side of ABCD $\displaystyle ABCD$, take the square root of the area:

$\sqrt{196}=14$ $\displaystyle \sqrt{196}=14$ centimeters

Therefore each side of ABCD $\displaystyle ABCD$ is 14 centimeters long.

To find the perimeter, multiply by 4:

$14\times4=56$ $\displaystyle 14\times4=56$ centimeters

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Example Question #3 : How To Find The Perimeter Of A Square

A square tabletop has an area of 900 $\displaystyle 900$ in^2 $\displaystyle in^2$. Find the perimeter of the tabletop.

Possible Answers:

120 $\displaystyle 120$$\displaystyle in$

250 $\displaystyle 250$ $\displaystyle in$

450 $\displaystyle 450$ $\displaystyle in$

300 $\displaystyle 300$ $\displaystyle in$

$\displaystyle 30$ $\displaystyle in$

Correct answer:

120 $\displaystyle 120$$\displaystyle in$

Explanation:

First find the length of each side.

Take the square root of the area to find the side length:

$\sqrt{900in^2}=30in$ $\displaystyle \sqrt{900in^2}=30in$

Since a square has $\displaystyle 4$ equal sides, multiply the side length by $\displaystyle 4$ to find the perimeter:

$4 *30in = 120\ in$ $\displaystyle 4 *30in = 120\ in$

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Example Question #1 : How To Find The Perimeter Of A Square

A square garden has an area of 64 square feet. If you add 3 feet to each side, what is the new perimeter of the garden?

Possible Answers:

121

Correct answer:

Explanation:

By finding the square root of the area of the garden, you find the length of one side, which is 8. We add 3 feet to this, giving us 11, then multiply this by 4 to get 44 feet for the perimeter.

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Example Question #2 : How To Find The Perimeter Of A Square

The area of the shaded region of a square is 18. What is the perimeter of the square?

Possible Answers:

Correct answer:

Explanation:

The area of the shaded region, which covers half of the square is 18 meaning that the total area of the square is 18 x 2, or 36. The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6. The perimeter is the length of 1 side times 4 or 6 x 4.

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Example Question #401 : Geometry

The area of a square is $25 cm^{2}$ $\displaystyle 25 cm^{2}$. If the square is enlarged by a factor of 2, what is the perimeter of the new square?

Possible Answers:

$75\ cm$ $\displaystyle 75\ cm$

$40\ cm$ $\displaystyle 40\ cm$

$100\ cm$ $\displaystyle 100\ cm$

$50\ cm$ $\displaystyle 50\ cm$

$80\ cm$ $\displaystyle 80\ cm$

Correct answer:

$40\ cm$ $\displaystyle 40\ cm$

Explanation:

The area of a square is given by $A = s^{2}$ $\displaystyle A = s^{2}$ so we know the side is 5 cm. Enlarging by a factor of two makes the new side 10 cm. The perimeter is given by P = 4s $\displaystyle P = 4s$, so the perimeter of the new square is 40 cm.

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Example Question #4 : How To Find The Perimeter Of A Square

The diagonal of a square has a length of 10 inches. What is the perimeter of the square in inches squared?

Possible Answers:

$20\sqrt{2}$ $\displaystyle 20\sqrt{2}$

$6\sqrt{2}$ $\displaystyle 6\sqrt{2}$

$10\sqrt{2}$ $\displaystyle 10\sqrt{2}$

$5\sqrt{2}$ $\displaystyle 5\sqrt{2}$

Correct answer:

$20\sqrt{2}$ $\displaystyle 20\sqrt{2}$

Explanation:

Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a²=10². This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter.

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Example Question #2 : How To Find The Perimeter Of A Square

What is the perimeter of a square with an area of $\displaystyle 36$?

Possible Answers:

$\displaystyle 30$

$\displaystyle 16$

$\displaystyle 24$

$\displaystyle 36$

$\displaystyle 12$

Correct answer:

$\displaystyle 24$

Explanation:

1. Find the side lengths:

$Area= (side)^{2}$ $\displaystyle Area= (side)^{2}$

$36=(side)^{2}$ $\displaystyle 36=(side)^{2}$

side=6 $\displaystyle side=6$

2. Use the side lengths to find the perimeter:

$\displaystyle Perimeter= 4(side)$

$\displaystyle Perimeter=4(6)=24$

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Example Question #193 : Squares

Find the perimeter of a square that has side lengths of $\displaystyle 12$.

Possible Answers:

$\displaystyle 48$

$\displaystyle 60$

$\displaystyle 36$

$\displaystyle 24$

Correct answer:

$\displaystyle 48$

Explanation:

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$ $\displaystyle \text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(12)=48$ $\displaystyle \text{Perimeter}=4(12)=48$

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Example Question #10 : How To Find The Perimeter Of A Square

Find the perimeter of a square that has side lengths of 0.2 $\displaystyle 0.2$.

Possible Answers:

0.04 $\displaystyle 0.04$

0.8 $\displaystyle 0.8$

0.6 $\displaystyle 0.6$

$\displaystyle 1$

Correct answer:

0.8 $\displaystyle 0.8$

Explanation:

Use the following formula to find the perimeter of a square:

$\text{Perimeter}=4(\text{side length})$ $\displaystyle \text{Perimeter}=4(\text{side length})$

For the given square,

$\text{Perimeter}=4(0.2)=0.8$ $\displaystyle \text{Perimeter}=4(0.2)=0.8$

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Basic Geometry : How to find the perimeter of a square

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #1 : How To Find The Perimeter Of A Square

Example Question #2 : How To Find The Perimeter Of A Square

Example Question #3 : How To Find The Perimeter Of A Square

Example Question #1 : How To Find The Perimeter Of A Square

Example Question #2 : How To Find The Perimeter Of A Square

Example Question #401 : Geometry

Example Question #4 : How To Find The Perimeter Of A Square

Example Question #2 : How To Find The Perimeter Of A Square

Example Question #193 : Squares

Example Question #10 : How To Find The Perimeter Of A Square

All Basic Geometry Resources

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