### All ISEE Lower Level Math Resources

## Example Questions

### Example Question #1 : Plane Geometry

What is the perimeter of parallelogram ABCD?

**Possible Answers:**

Cannot be determined

**Correct answer:**

The perimeter of a parallelogram is very easy to find. You just need to add up all the sides. However, you need to notice that the sides "across" from each other are equal on parallelograms. So, your figure could be redrawn:

The perimeter of your figure is therefore:

### Example Question #1 : Plane Geometry

A parallelogram has a side length of . It also has a side length of . Calculate the perimeter.

**Possible Answers:**

**Correct answer:**

A parallelogram has four sides and its opposite sides are equal in length. Therefore, if it has one side length of, it also has another side length of of . Since we know one of its side lenghts is , then the remaining side is . We can add all 4 side lengths to calculate the perimeter.

### Example Question #3 : Parallelograms

What is the perimeter of a parallelogram if the base is , the other side is , and the height is ?

**Possible Answers:**

**Correct answer:**

The perimeter of a parallelogram is the sum of all four sides or the sum of two times each side length. The side lengths are and so the perimeter is .

### Example Question #1 : Parallelograms

Find the perimeter of the given parallelogram:

**Possible Answers:**

**Correct answer:**

Find the perimeter of the given parallelogram:

The perimeter of any shape can be found by adding up the lentghs of its sides.

In this case, we have four sides. 2 that are 16 miles long, and 2 that are 144 miles long.

Find perimeter as follows:

Making our answer 320 miles

### Example Question #1 : Quadrilaterals

Find the area of the parallelogram:

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Plane Geometry

What is the area of the parallelogram ABCD?

**Possible Answers:**

**Correct answer:**

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram *is **not* the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

### Example Question #2 : Plane Geometry

What is the area of parallelogram ABCD?

**Possible Answers:**

**Correct answer:**

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram *is **not* the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

### Example Question #8 : Parallelograms

A parallelogram measures along its base and is high. Calculate the area.

**Possible Answers:**

**Correct answer:**

The formula to calucate a parallelogram's area is:

You calculate the parallelogram's area by multiplying its base by its height. Therefore,

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

A parallelogram measures along its base and is high. Calculate the area.

**Possible Answers:**

**Correct answer:**

The formula to calucate a parallelogram's area is:

You calculate the parallelogram's area by multiplying its base by its height. Therefore,

### Example Question #1 : Quadrilaterals

Find the area of a parallelogram whose height is and base is .

**Possible Answers:**

**Correct answer:**

To solve, simply use the formula for the area of a parallelogram. Thus,

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