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Basic Geometry : Squares

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Example Questions

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Example Question #11 : How To Find The Area Of A Square

A square garden has sides that are feet long. In square feet, what is the area of the garden?

Possible Answers:

Correct answer:

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=8^2=64$

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Example Question #12 : How To Find The Area Of A Square

In square meters, find the area of a square that has a side length of meter.

Possible Answers:

Correct answer:

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=1^2=1$

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Example Question #13 : How To Find The Area Of A Square

Jennifer wants to put down carpet on her bedroom floor that is a square with side lengths of feet. In square feet, how much carpet is needed?

Possible Answers:

196

144

156

Correct answer:

196

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=14^2=196$

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Example Question #14 : How To Find The Area Of A Square

In square feet, find the area of a square that has side lengths of feet,

Possible Answers:

575

625

875

Correct answer:

625

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=25^2=625$

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Example Question #15 : How To Find The Area Of A Square

In square inches, find the area of a square that has side lengths of 100 inches.

Possible Answers:

100

100000

10000

1000

Correct answer:

10000

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=100^2=10000$

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Example Question #701 : Plane Geometry

In square inches, find the area of a square that has side lengths of $\sqrt2$ inches.

Possible Answers:

$2\sqrt2$

$\sqrt3$

Correct answer:

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=(\sqrt{2})^2=2$

Recall that when a square root is squared you are left with the number under the square root sign. This happens because when you square a number you are multiplying it by itself. In our case this is,

$(\sqrt{2})^2=\sqrt{2}\cdot \sqrt{2}$ .

From here we can use the property of multiplication and radicals to rewrite our expression as follows,

$\sqrt{2}\cdot \sqrt{2}=\sqrt{2\cdot 2}$

and when there are two numbers that are the same under a square root sign you bring out one and the other number and square root sign go away.

$\sqrt{2\cdot 2}=2$

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Example Question #17 : How To Find The Area Of A Square

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

Possible Answers:

0.02

0.4

0.04

Correct answer:

0.04

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=(0.2)^2=0.04$

When multiplying decimals together first move the decimal over so that the number is a whole integer.

$0.2\rightarrow 2$

Now we multiple the integers together.

$0.2\cdot 0.2\rightarrow 2\cdot 2=4$

From here, we need to move the decimal place back. In this particular problem we moved the decimal over one time for each number for a total of two decimal places.

Therefore our answer becomes,

$4\rightarrow 0.04$

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

In square units, find the area of a square that has side lengths of $\frac{1}{4}$ units.

Possible Answers:

$\frac{1}{2}$

$\frac{1}{16}$

Correct answer:

$\frac{1}{16}$

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=\left(\frac{1}{4}\right)^2=\frac{1}{16}$

When squarring a fraction we need to square both the numerator and the denominator.

$\left( \frac{1}{4}\right)^2=\frac{1^2}{4^2}=\frac{1\cdot 1}{4\cdot 4}=\frac{1}{16}$

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Example Question #21 : How To Find The Area Of A Square

In square units, find the area of the square with side lengths $\frac{2}{3}$ units.

Possible Answers:

$\frac{4}{3}$

$\frac{4}{9}$

$\frac{1}{3}$

$\frac{5}{6}$

Correct answer:

$\frac{4}{9}$

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=\left(\frac{2}{3}\right)^2=\frac{4}{9}$

When squarring a fraction we need to square both the numerator and the denominator.

$\left(\frac{2}{3}\right)^2==\frac{2^2}{3^2}=\frac{2\cdot 2}{3\cdot 3}=\frac{4}{9}$

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Example Question #22 : How To Find The Area Of A Square

In square units, find the area of the square with side length 0.6 units.

Possible Answers:

0.12

0.36

1.2

0.24

Correct answer:

0.36

Explanation:

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

$\text{Area}=(\text{side length})^2$

For the given square,

$\text{Area}=0.6^2=0.36$

When multiplying decimals together first move the decimal over so that the number is a whole integer.

$0.6\rightarrow 6$

Now we multiple the integers together.

$0.6\cdot 0.6\rightarrow 6\cdot 6=36$

From here, we need to move the decimal place back. In this particular problem we moved the decimal over one time for each number for a total of two decimal places.

Therefore our answer becomes,

$36\rightarrow 0.36$

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Basic Geometry : Squares

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #11 : How To Find The Area Of A Square

Example Question #12 : How To Find The Area Of A Square

Example Question #13 : How To Find The Area Of A Square

Example Question #14 : How To Find The Area Of A Square

Example Question #15 : How To Find The Area Of A Square

Example Question #701 : Plane Geometry

Example Question #17 : How To Find The Area Of A Square

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

Example Question #21 : How To Find The Area Of A Square

Example Question #22 : How To Find The Area Of A Square

All Basic Geometry Resources

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