# ISEE Lower Level Quantitative : Quadrilaterals

## Example Questions

### Example Question #62 : How To Find The Perimeter Of A Rectangle

What is the width of the rectangle if the perimeter is  and the length is ?

Explanation:

The formula for perimeter of a rectangle is

To solve for the width we can plug our known values into the equation.

Subtract  from both sides

Divide  by both sides

### Example Question #31 : Find Perimeter Or Missing Side Lengths Of Polygons: Ccss.Math.Content.3.Md.D.8

What is the width of the rectangle if the perimeter is  and the length is ?

Explanation:

The formula for perimeter of a rectangle is

To solve for the width we can plug our known values into the equation.

Subtract  from both sides

Divide  by both sides

### Example Question #63 : How To Find The Perimeter Of A Rectangle

What is the width of the rectangle if the perimeter is  and the length is ?

Explanation:

The formula for perimeter of a rectangle is

To solve for the width we can plug our known values into the equation.

Subtract  from both sides

Divide  by both sides

### Example Question #64 : How To Find The Perimeter Of A Rectangle

What is the width of the rectangle if the perimeter is  and the length is ?

Explanation:

The formula for perimeter of a rectangle is

To solve for the width we can plug our known values into the equation.

Subtract  from both sides

Divide  by both sides

### Example Question #65 : How To Find The Perimeter Of A Rectangle

What is the width of the rectangle if the perimeter is  and the length is ?

Explanation:

The formula for perimeter of a rectangle is

To solve for the width we can plug our known values into the equation.

Subtract  from both sides

Divide  by both sides

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

What is the area of a square if one side of the square is 6?

Explanation:

If one side of a square is 6, then each of the four sides of the square are equal to 6. To find the area of a square, we multiply the length and the height together. The length is 6, and the height is 6, thus the equation we use is .

Remember the formula for the area of a quadrilateral is . For a square, one side is equal to both the length and the width.

### Example Question #2 : Squares

One side of a square is  centimeters long. What is the area of the square?

Explanation:

The formula for finding the area of a square is  , or, because this is a square, .

area =  centimeters  centimeters, or

### Example Question #3 : Squares

A right triangle has a base of  and a height of .

What is the area of the rectangle made by 2 of these triangles aligned along the hypotenuse?

Explanation:

If one combines the 2 identical triangles, their base and height become the length and width of the rectangle.

Area of a rectangle is:

In this case

### Example Question #4 : Squares

A square has an area of .  What is the length of one side?

Explanation:

You can find the area of a square by multiplying two sides together.  All of the sides of a square are equal.  In this case, , so the length of all of the sides of the square is 4 inches.

### Example Question #5 : Squares

Michaela drew th square below.

What is the area of the square?

48 square centimeters

144 square centimeters

100 square centimeters

112 square centimeters

12 square centimeters