# ISEE Lower Level Math : Geometry

## Example Questions

### Example Question #1 : Parallelograms

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

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 ?      Explanation:

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:      Explanation:

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:      Explanation: ### Example Question #1 : Plane Geometry What is the area of the parallelogram ABCD?      Explanation:

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?      Explanation:

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.      Explanation:

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.      Explanation:

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 .     Explanation:

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