ISEE Middle Level Math : Geometry

Study concepts, example questions & explanations for ISEE Middle Level Math

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Example Questions

Example Question #5 : How To Find The Perimeter Of Square

A new building in New York City will have a footprint that is a perfect square, taking up a complete city block. If one city block is of a mile, what is the perimeter of the building?

Possible Answers:

Correct answer:

Explanation:

A new building in New York City will have a footprint that is a perfect square, taking up a complete city block. If one city block is of a mile, what is the perimeter of the building?

 

To find the perimeter of a square, we need to multiply the side length by 4.

Our side length is  mile, so do the following to find our answer:

So the perimeter is 

Example Question #3 : Quadrilaterals

Use the following to answer the question.

Square1

Find the perimeter of the square.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, we use the following formula:

where a, b, c, and d are the lengths of each side. 

 

Now, we know that a square has equal sides.  So given the square

Square1

we know that each side equals 6ft.  So, we can use this to substitute into the formula.  We get

Example Question #101 : Plane Geometry

Find the perimeter of a square with a width of 8 inches.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, we use the following formula:

where a, b, c, and d are the lengths of the sides of the square.  

 

Now, we know the width of the square is 8 inches.  Because it is a square, we know all sides are equal.  Therefore, all sides are 8 inches.  Knowing this, we can substitute into the formula.  We get

Example Question #4 : Quadrilaterals

You are playing Monopoly and notice that the dice is a cube. If the dice has a height of 2 centimeters, what is the perimeter of one of its surfaces?

Possible Answers:

Cannot be determined from the information provided.

Correct answer:

Explanation:

You are playing Monopoly and notice that the dice is a cube. If the dice has a height of 2 centimeters, what is the perimeter of one of its surfaces?

Begin by realizing that we need to find the perimeter of a square.

Next, recall that the height of a cube is the same as its length and width. In other words, one surface of a cube will be a square with sides equal to the height of the cube.

Armed with this knowledge, we can find the perimeter of the square.

So our answer is 8cm

Example Question #5 : How To Find The Perimeter Of Square

A square stamp has an edge length of 6 centimeters, what is its perimeter?

Possible Answers:

Correct answer:

Explanation:

A square stamp has an edge length of 6 centimeters, what is its perimeter?

To find the perimeter of a square, we simply can multiply the edge length by 4.

Doing so yields:

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

Find the perimeter of a square that has a base of length 9 inches.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, we will use the following formula:

where a, b, c, and d are the lengths of each side of the square.

 

Now, we know the base has a length of 9 inches.  Because it is a square, we know that all sides are equal.  Therefore, all sides are 9 inches.  Knowing this, we can substitute into the formula.  We get

Example Question #11 : Quadrilaterals

A city block is a perfect square with sides of .

What is the perimeter of the city block?

Possible Answers:

Correct answer:

Explanation:

A city block is a perfect square with sides of .

What is the perimeter of the city block?

To find the perimeter of a square, simply multiply the side length by 4:

So our answer is 2 miles

Example Question #103 : Plane Geometry

Find the perimeter of a square with a length of 7in.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, we will use the following formula:

where a, b, c, and d are the lengths of the sides of the square.

 

Now, we know the length of the square is 7in.  Because it is a square, we know all sides are equal.  Therefore, all sides are 7in.

Knowing all of this, we can substitute into the formula.  We get

Example Question #13 : How To Find The Perimeter Of Square

Use the following image to answer the question:

Square3

Find the perimeter of the square.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, we will use the following formula:

where a, b, c, and d are the lengths of the sides of the square.

 

Now, let's look at the given square.

Square3

We can see that one side is 8cm.  Because it is a square, all sides are equal.  Therefore, all sides are 8cm.  

Knowing this, we can substitute into the formula.  We get

Example Question #14 : How To Find The Perimeter Of Square

Find the perimeter of a square with a length of 9cm.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a square, we will use the following formula:

where a, b, c, and d are the lengths of the sides of the square.

 

Now, we know the length of the square is 9cm.  Because it is a square, all of the sides are equal.  Therefore, all sides are 9cm.

Knowing this, we can substitute into the formula.  We get

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