Basic Geometry : How to find the perimeter of a square

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

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Example Question #71 : How To Find The Perimeter Of A Square

Know that in a Major League Baseball infield the distance between home plate and first base is 90 feet and the infield is a perfect square.

If a batter ran to first, then started to run toward second base, but decided to go back to first base when they were halfway to second, how far would they have run in total by the time the made it back to first base?

Possible Answers:

Correct answer:

Explanation:

If they run this way they run 90 feet between home plate and first base, 45 feet between first base and the point where they turn around, and 45 more feet from where they turned around to first base. So, they ran 

Example Question #71 : How To Find The Perimeter Of A Square

Know that in a Major League Baseball infield the distance between home plate and first base is 90 feet and the infield is a perfect square.

If a baserunner is on third base and the batter hits a home run, how far to the two players run in total?

Possible Answers:

Correct answer:

Explanation:

The baserunner on third base runs 90 feet to home plate and is done running.

The batter who hit the home run runs all four sides of the square, so they run 360 feet. 

Example Question #261 : Squares

Know that in a Major League Baseball infield the distance between home plate and first base is 90 feet and the infield is a perfect square.

If a confused batter hits a home run and then runs the bases backwards, how far will they in total run if they make it all the way back to home plate before they realize their mistake, and then run all of the bases again in the correct order?

Possible Answers:

Correct answer:

Explanation:

If running all of the bases once is 360 feet,

then running the bases twice is 

Example Question #911 : Plane Geometry

A square has an area of . What is its perimeter? 

Possible Answers:

Correct answer:

Explanation:

If the area is 20.25 square inches, that means that the side lengths are all the square root of 20.25. 

To find the perimeter, multiply by 4: 

Example Question #72 : How To Find The Perimeter Of A Square

True or false: The perimeter of a square with sidelength ten inches is three feet.

Possible Answers:

True

False

Correct answer:

False

Explanation:

The perimeter of a square is four times the length of a side; since the given square has ten inches as the common length of its sides, its perimeter is four times this, or

Since one foot is equal to 12 inches, three feet are equal to 

The perimeter of the square is therefore not equal to three feet.

Example Question #74 : How To Find The Perimeter Of A Square

Square geometry vector.svg

The area of the square  is  square units. What is the perimeter of ?

Possible Answers:

Correct answer:

Explanation:

The formula for the area of a square with given side length  is . Since the area  of the square  is  square units, its side length  can be computed as follows:

.

The formula for the perimeter of a square with given side length  is . The side length  of square  has already been calculated, so we can substitute in this value for  in this formula to deduce its perimeter.

.

Hence, the perimeter of the square  is  units.

 

Example Question #71 : How To Find The Perimeter Of A Square

If the area of a square is 144, what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

First we need to find the measure of one side. Since formula for area of a square is 

 

we can plug in area and find side 

 

we have to take the square root of each side to solve for S 

 

so 

.

Now that we have our side we can solve for perimeter. The formula for perimeter of a square is 

 or  

Since we know S=12 we multiply 12 x 4 and we get 48.

Example Question #75 : How To Find The Perimeter Of A Square

A square has an area of , what is the perimeter?

Possible Answers:

Correct answer:

Explanation:

The area of a square is:

, where s is the side length of the square.

So using the numbers:

Therefore, every side of the square is 25.

Now to find the perimeter, a square has 4 equal sides:

The perimeter of the square is 100

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