ISEE Middle Level Math : Geometry

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

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Example Questions

Example Question #53 : Quadrilaterals

Find the area of a square with a width of 13in.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the width of the square is 13in.  Because it is a square, we know all sides are equal.  Therefore, the length is also 13in.

 

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

Example Question #151 : Plane Geometry

Find the area of a square with a base of 17cm.

Possible Answers:

Correct answer:

Explanation:

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

 

Now, we know the length of the square is 17cm.  Because it is a square, all sides are equal.  Therefore, the width is also 17cm.

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

Example Question #52 : Squares

Find the area of a square with a base of 19cm.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the base (or length) of the square is 19cm.  Because it is a square, all sides are equal.  Therefore, the width is also 19cm.

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

Example Question #53 : Squares

Use the following square to answer the question:

Square2

Find the area.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, given the square

Square2

we can see the length is 14cm.  Because it is a square, all sides are equal.  Therefore, the width is also 14cm.  Knowing this, we can substitute into the formula.  We get

Example Question #54 : Squares

The area of a square is .  Find the length of one side of the square.

Possible Answers:

Correct answer:

Explanation:

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

where x is the length of one side.

 

Now, we want to find the length of one side, so we will solve for x.  We know the area of the square is .  So, we will substitute.

 

 

 

 

 

Therefore, the length of one side of the square is 11in.

Example Question #54 : Quadrilaterals

Find the area of a square with a length of 12in.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the length of the square is 12in.  Because it is a square, all sides are equal.  Therefore, the width is also 12in.  So, we can substitute.

Example Question #61 : Squares

Find the area of a square with a width of 5in.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the width of the square is 5in.  Because it is a square, all sides are equal.  Therefore, the length is also 5in.  So, we can substitute.  We get

Example Question #153 : Plane Geometry

Find the area of a square with a length of 9in.

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the length of the square is 9in.  Because it is a square, all sides are equal.  Therefore, the width is also 9in.  So, we get

Example Question #61 : Quadrilaterals

Find the area of a square that has a width of 13in. 

Possible Answers:

Correct answer:

Explanation:

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

where l is the length and w is the width of the square.

 

Now, we know the width of the square is 13in.  Because it is a square, all sides are equal.  Therefore, the length is also 13in.

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

Example Question #1 : How To Find The Area Of A Rectangle

What is the area of a rectangle with length  and width ?

Possible Answers:

Correct answer:

Explanation:

The formula for the area, , of a rectangle when we are given its length, , and width, , is .

To calculate this area, just multiply the two terms.

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