# ISEE Lower Level Math : Geometry

## Example Questions

### Example Question #71 : Rectangles

The length of a rectangle is , and the width of the rectangle is . What is the perimeter if  and ?

Possible Answers:

Correct answer:

Explanation:

If the length of a rectangle is  and the width is , the perimeter is:

Now plug in  and :

### Example Question #111 : Geometry

If the perimeter of a rectangle is  inches and its length is twice the value of its width, what is the value of the width of the rectangle in inches?

Possible Answers:

inches

inches

inches

inches

Correct answer:

inches

Explanation:

If the length of the rectangle is twice the value of its width, then if the width is equal to w, then the length is equal to 2w.

Given that the perimeter of a rectangle is equal to the value of all the sides added together, the following equation would apply:

This means that the rectangle is  inches wide.

### Example Question #11 : How To Find The Perimeter Of A Rectangle

The area of a rectangle is . One of its sides is . What is its perimeter?

Possible Answers:

Correct answer:

Explanation:

Remember that the area of a rectangle is equal to its base times its height. If its area is  and one side has a length of , we can find the other side by dividing these:

So, our rectangle looks like this:

The perimeter is easily calculated:

### Example Question #114 : Geometry

What is the perimeter of the following rectangle?

Possible Answers:

199.3

631.1

Correct answer:

Explanation:

The perimeter of a rectangle is very easy to solve.  Merely add up all the sides:

### Example Question #12 : How To Find The Perimeter Of A Rectangle

One of a rectangle's sides has a length of . Another of its sides is half that length. What is its perimeter?

Possible Answers:

Correct answer:

Explanation:

If one side of the rectangle is  and the other half of that, then the other side must be:

Our rectangle therefore looks like this:

The perimeter is calculated very easily.  Just sum up all the sides!

### Example Question #81 : Rectangles

What is the perimeter of the above rectangle?

Possible Answers:

ft

ft

ft

ft

ft

Correct answer:

ft

Explanation:

The perimeter of a rectangle is the length of all the sides added together. This rectangle has two short sides that are each  feet long and two long sides that are each  feet long. , so the correct answer is .

### Example Question #117 : Geometry

Find the perimeter of a rectangle whose width is  and length is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the eprimeter of a rectangle. Thus,

### Example Question #118 : Geometry

Find the perimeter of a rectangle whose length is  and width is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the perimeter of a rectangle. Thus,

### Example Question #82 : Rectangles

You need to cover your rectangular driveway in blacktop but you need the area to figure out how much material to get.  You would just add up all four sides to get our answer.  Is this statement true or false?

Possible Answers:

True

False

Correct answer:

False

Explanation:

The area of a rectangle is the length times the width not the sides added togther.  That would be the perimeter.

### Example Question #120 : Geometry

A computer screen has a height of 9 inches and a width of 16 inches. Find its perimeter. All answers are in inches.

Possible Answers:

Correct answer:

Explanation:

A computer screen has a height of 9 inches and a width of 16 inches. Find its perimeter.

Perimeter is the distance around the outside of a shape. In this case, we are dealing with a rectangle. To find the perimeter of a rectangle, we need to add up all four sides, or use the following formula:

Substitute our length and width into the equation

So our perimeter is 50 inches