ISEE Lower Level Math : Plane Geometry

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #71 : Plane Geometry

Use the following image to answer the question:

Rectangle4

Find the area.

Possible Answers:

Correct answer:

Explanation:

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

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

 

Now, given the rectangle

Rectangle4

We can see the length is 9cm.  We can also see the width is 7cm. 

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

Example Question #71 : Plane Geometry

Use the following rectangle to answer the question:

Rectangle2

Find the area.

Possible Answers:

Correct answer:

Explanation:

To find the area of a rectangle, we will use the following equation:

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

 

So, given the rectangle

Rectangle2

we can see the length is 11in and the width is 5in.  

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

Example Question #72 : Plane Geometry

Find the area of a rectangle with a width of 3cm and a length that is four times the width.

Possible Answers:

Correct answer:

Explanation:

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

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

 

Now, we know the width of the rectangle is 3cm.  We also know the length is four times the width.  Therefore, the length is 12cm. 

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

Example Question #71 : Plane Geometry

Find the area of a rectangle with a length of 16in and a width that is half the length.  

Possible Answers:

Correct answer:

Explanation:

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

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

 

Now, we know the length of the rectangle is 16in.  We also know the width is half of the length.  Therefore, the width is 8in.

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

Example Question #71 : Quadrilaterals

Find the area of the following rectangle:

Rectangle2

Possible Answers:

Correct answer:

Explanation:

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

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

 

Now, given the rectangle

Rectangle2

we can see the length is 11in and the width is 5in.  Knowing this, we can substitute into the formula.  We get

Example Question #73 : Plane Geometry

Find the area of a rectangle with a width of 4in and a length that is two times the width.

Possible Answers:

Correct answer:

Explanation:

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

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

 

Now, we know the width of the rectangle is 4in.  We also know the length of the rectangle is two times the width.  Therefore, the length is 8in.  So, we get

Example Question #1021 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Dennis is building a fence around his field to keep his cattle from getting off the property. If Dennis’ field is  miles long and  miles wide, how much fence will Dennis need to surround all of his property?

Possible Answers:

Correct answer:

Explanation:

In order to determine how much fence Dennis will need, we must find the perimeter of his property, which can be found using the formula . When we plug  in the  and  in for , we find that Dennis needs  of fence to surround his property.

 

 

 

 

 

 

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

Rectangle

Give the perimeter of the rectangle in the above diagram.

Possible Answers:

Correct answer:

Explanation:

Add the length and the height, then multiply the sum by two:

The rectangle has a perimeter of 58 inches.

Example Question #2 : How To Find The Perimeter Of A Rectangle

Rectangle

Give the perimeter of the above rectangle in feet.

Possible Answers:

Correct answer:

Explanation:

Use the following formula, substituting  :

Now, divide this by 12 to convert inches to feet.

6 inches make half of a foot, so this means the perimeter is  feet.

Example Question #76 : Plane Geometry

What is the perimeter of a rectangle that has a length of  inches and a width of  inches? 

Possible Answers:

Correct answer:

Explanation:

The perimeter of a shape is the sum of all its sides. To find the perimeter of a rectangle, one can use the formula listed above, , since a rectangle has opposite sides of equal length.

The length of the rectangle is :

The width of the rectangle is :

.

Therefore, the perimeter is .  

Learning Tools by Varsity Tutors