### All ISEE Lower Level Math Resources

## Example Questions

### Example Question #1 : Parallelograms

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 #2 : 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 : How To Find The Perimeter Of A Parallelogram

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 : Plane Geometry

Find the area of the parallelogram:

**Possible Answers:**

**Correct answer:**

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

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 #3 : Parallelograms

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 #4 : Quadrilaterals

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 : Plane Geometry

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 #6 : 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,

### Example Question #11 : Parallelograms

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

**Possible Answers:**

**Correct answer:**

The area of a parallelogram is so the answer would be .

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