# ISEE Lower Level Quantitative : Quadrilaterals

## Example Questions

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

James found the area of the square below to be 36 centimeters squared.

What is the length of one side of the square?

9 centimeters

6 centimeters

36 centimeters

18 centimeters

8 centimeters

6 centimeters

Explanation:

The area of a square can be found by multiplying the length of a side by itself.  36 is equal to 6 times 6, therefore the length of one side is 6 centimeters.

### Example Question #402 : Plane Geometry

Daphne found the area of the square below to be 81 centimeters squared.

What is the length of one side of the square?

7 centimeters

9 centimeters

20 centimeters

8 centimeters

81 centimeters

9 centimeters

Explanation:

The area of a square can be found by multiplying the length of a side by itself.  81 is equal to 9 times 9, therefore the length of one side is 9 centimeters.

### Example Question #403 : Plane Geometry

If the area of a square is , what is the length of each side?

Explanation:

To find the area of a square, the length must be multiplied by the height.  Since a square has four equal sides, the length and width will have the same measurement. We must, therefore, find the square root of .  Since , is the square root of , which makes it the measurement for both the length and the width of the square.

### Example Question #404 : Plane Geometry

If the length of a rectangle is four times the width, and the width is , what is the perimeter of the rectangle?

Explanation:

In order to find the perimeter of a rectangle, we must add the length of all the sides together. In this case, however, we must first determine the length, which can be found by multiplying by , because the length is four times the width, which had already been defined as .

Now we add together the four sides.

### Example Question #405 : Plane Geometry

If the perimeter of a square is , what is the length of each side?

Explanation:

To find the perimeter of a square, all the sides must be added together. Since a square has equal sides, the length of each side can be determined by dividing the perimeter () by .

### Example Question #631 : Geometry

The perimeter of a square is . What is the length of one side?

Explanation:

To find perimeter, add up all the sides. Since this is a square, all of the sides are going to be the same. So, you can divide  by  to find out what each side is. This gives an answer of

### Example Question #407 : Plane Geometry

One side of a square is  meters long. What is the perimeter of the square?

Explanation:

The perimeter of a shape is the distance around the shape. The area is the space within the shape. To find the perimeter of a shape, we simply add all the sides together. Since all of a square's sides are equal, and a square has four sides, use the formula:

### Example Question #408 : Plane Geometry

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

What is the perimeter of the rectangle made by combining 2 of these triangles along their hypotenuse?

Explanation:

If the rectangle's length and width are 4 and 7, then perimeter, which is

### Example Question #409 : Plane Geometry

A square has a perimeter of , what is the lengthh of one side?