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Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #3 : 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 #1 : 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 #3 : How To Find The Perimeter Of A Square

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

Possible Answers:

$75\ cm$

$50\ cm$

$100\ cm$

$80\ cm$

$40\ cm$

Correct answer:

$40\ cm$

Explanation:

The area of a square is given by $A = s^{2}$ 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 , so the perimeter of the new square is 40 cm.

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Example Question #6 : 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:

$20\sqrt{2}$

$6\sqrt{2}$

$5\sqrt{2}$

$10\sqrt{2}$

Correct answer:

$20\sqrt{2}$

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 ?

Possible Answers:

Correct answer:

Explanation:

1. Find the side lengths:

$Area= (side)^{2}$

$36=(side)^{2}$

side=6

2. Use the side lengths to find the perimeter:

Perimeter= 4(side)

Perimeter=4(6)=24

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

Find the perimeter of a square that has side lengths of .

Possible Answers:

Correct answer:

Explanation:

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

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

For the given square,

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

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

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

Possible Answers:

0.6

0.8

0.04

Correct answer:

0.8

Explanation:

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

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

For the given square,

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

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Example Question #441 : Quadrilaterals

Find the perimeter of a square that has side lengths of 1.5 .

Possible Answers:

1.75

Correct answer:

Explanation:

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

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

For the given square,

$\text{Perimeter}=4(1.5)=6$

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Example Question #442 : Quadrilaterals

Find the perimeter of a square that has side lengths of .

Possible Answers:

364

264

284

194

Correct answer:

264

Explanation:

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

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

For the given square,

$\text{Perimeter}=4(66)=264$

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Example Question #443 : Quadrilaterals

Find the perimeter of a square that has side lengths of 2.5 .

Possible Answers:

6.25

Correct answer:

Explanation:

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

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

For the given square,

$\text{Perimeter}=4(2.5)=10$

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Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

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

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

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

Example Question #6 : 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 #2 : How To Find The Perimeter Of A Square

Example Question #441 : Quadrilaterals

Example Question #442 : Quadrilaterals

Example Question #443 : Quadrilaterals

All Basic Geometry Resources

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