Basic Geometry : How to find the area of a square

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

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

If a completely fenced-in square-shaped yard requires 140 feet of fence, what is the area, in square feet, of the lot?

Possible Answers:

140

70

1225

4900

35

Correct answer:

1225

Explanation:

Since the yard is square in shape, we can divide the perimeter(140ft) by 4, giving us 35ft for each side. We then square 35 to give us the area, 1225 feet. 

Example Question #34 : Squares

Eric has 160 feet of fence for a parking lot he manages. If he is using all of the fencing, what is the area of the lot assuming it is square?

Possible Answers:

Correct answer:

Explanation:

The area of a square is equal to its length times its width, so we need to figure out how long each side of the parking lot is. Since a square has four sides we calculate each side by dividing its perimeter by four.

Each side of the square lot will use 40 feet of fence.

.

Example Question #12 : 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:

For the given square,

Example Question #13 : 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:

For the given square,

Example Question #14 : 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:

Correct answer:

Explanation:

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

For the given square,

Example Question #15 : 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:

Correct answer:

Explanation:

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

For the given square,

Example Question #16 : How To Find The Area Of A Square

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

Possible Answers:

Correct answer:

Explanation:

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

For the given square,

Example Question #42 : Squares

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

Possible Answers:

Correct answer:

Explanation:

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

For the given square,

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,

.

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

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.

Example Question #43 : Squares

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

Possible Answers:

Correct answer:

Explanation:

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

For the given square,

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

Now we multiple the integers together.

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,

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  units.

Possible Answers:

Correct answer:

Explanation:

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

For the given square,

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

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