Basic Geometry : Basic Geometry

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #911 : Basic Geometry

Square abcd

In square ABCD, the length of line BC is  inches. What is the perimeter of square ABCD? 

Possible Answers:

Correct answer:

Explanation:

In any square, the diagonal (BC) will always be equal to the length of any side multiplied by √2.

So, if the diagonal is equal to 2√2, then working backwards, you have to divide the diagonal length by √2. 

Screen shot 2015 11 30 at 11.55.30 am

So if the diagonal is equal to 2√2, then any given side should equal 2.

If you add up all the sides, your final answer is 8.

 

 

Example Question #252 : Squares

Find the perimeter, , of a square whose side length, , is 7.9.

Possible Answers:

Correct answer:

Explanation:

The formula for the perimeter of a square is 

Example Question #253 : 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.

How many feet does a batter run when they hit a home run?

Possible Answers:

Correct answer:

Explanation:

Because the baserunner is going in a perfect square, they run 90 feet four different times.

We can solve the total distance with the equation 

Example Question #914 : Basic Geometry

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 standing on second base and their teammate hits a home run, how far does the baserunner run to reach home plate?

Possible Answers:

Correct answer:

Explanation:

Because the baserunner is on second base, they only have to run from second base to third base and third base to home plate.

This means they run the length of two sides of the square.

So, they run

.

Example Question #504 : Quadrilaterals

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 is hits a triple and makes it all the way to third base how far did they run?

Possible Answers:

Correct answer:

Explanation:

The batter runs from home plate to first base, first base to second base, and second base to third base.

That means they run three sides of the square infield.

So they ran 90 Feet three times. 

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 #918 : Basic Geometry

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 #261 : Squares

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 #262 : Squares

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.

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