# SSAT Middle Level Math : Geometry

## Example Questions

### Example Question #41 : Plane Geometry

Find the perimeter of the square in the figure.

Explanation:

Finding perimeter is easiest with squares. Perimeter is the distance around the outside of the figure. There are two good ways to find the perimeter. The first and longer method of finding perimeter is simply to add up the length of each side. Thus, we would take the length of top of the square and add it to the length of the right side. We'd continue all the way around. The formula for this method could be written like so:

top + right side + bottom + left side = perimeter.

Since a square has equal sides all around, we could also write the formulalike so:

The second and easier way of finding perimeter for a square is a simplification of the first method. Instead of adding the same number four times we could simply multiply by 4. Written as a formula, this would look like this:

For the this question, your work should then look like one of these two options:

or

### Example Question #11 : Quadrilaterals

Find the perimeter of the square in the figure.

Explanation:

Finding perimeter is easiest with squares. Perimeter is the distance around the outside of the figure. There are two good ways to find the perimeter. The first and longer method of finding perimeter is simply to add up the length of each side. Thus, we would take the length of top of the square and add it to the length of the right side. We'd continue all the way around. The formula for this method could be written like so:

top + right side + bottom + left side = perimeter.

Since a square has equal sides all around, we could also write the formulalike so:

The second and easier way of finding perimeter for a square is a simplification of the first method. Instead of adding the same number four times we could simply multiply by 4. Written as a formula, this would look like this:

For the this question, your work should then look like one of these two options:

or

### Example Question #11 : Squares

Find the perimeter of the square in the figure.

Explanation:

Finding perimeter is easiest with squares. Perimeter is the distance around the outside of the figure. There are two good ways to find the perimeter. The first and longer method of finding perimeter is simply to add up the length of each side. Thus, we would take the length of top of the square and add it to the length of the right side. We'd continue all the way around. The formula for this method could be written like so:

top + right side + bottom + left side = perimeter.

Since a square has equal sides all around, we could also write the formulalike so:

The second and easier way of finding perimeter for a square is a simplification of the first method. Instead of adding the same number four times we could simply multiply by 4. Written as a formula, this would look like this:

For the this question, your work should then look like one of these two options:

or

### Example Question #272 : Ssat Middle Level Quantitative (Math)

Find the perimeter of the square in the figure.

Explanation:

Finding perimeter is easiest with squares. Perimeter is the distance around the outside of the figure. There are two good ways to find the perimeter. The first and longer method of finding perimeter is simply to add up the length of each side. Thus, we would take the length of top of the square and add it to the length of the right side. We'd continue all the way around. The formula for this method could be written like so:

top + right side + bottom + left side = perimeter.

Since a square has equal sides all around, we could also write the formulalike so:

The second and easier way of finding perimeter for a square is a simplification of the first method. Instead of adding the same number four times we could simply multiply by 4. Written as a formula, this would look like this:

For the this question, your work should then look like one of these two options:

or

### Example Question #92 : Geometry

A sqaure has sides measuring  inches. What is this square's perimeter?

Explanation:

The perimeter of a shape is the distance around the outside boundry of that shape.

In order to find the perimeter, add up the lengths of the sides of that shape.

Because the sides of a square all have the same length, add . Equivalently, multiply the side length by the number of sides: .

Because perimeter measures length, the unit of the answer should be inches, not inches2.

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

What is the area of a square with perimeter 64 inches?

It cannot be determined from the information given.

Explanation:

The perimeter of a square is four times its sidelength, so a square with perimeter 64 inches has sides with length 16 inches. Use the area formula:

### Example Question #51 : Plane Geometry

The area of the square is 81. What is the sum of the lengths of three sides of the square?

Explanation:

A square that has an area of 81 has sides that are the square root of 81 (side2 = area for a square).  Thus each of the four sides is 9.  The sum of three of these sides is .

### Example Question #91 : Geometry

What is the total area of the surface of the cube shown in the above diagram?

Explanation:

A cube comprises six faces, each of which is a square. To find its total surface area, find the area of one face by squaring its sidelength:

Then multiply this by six:

### Example Question #4 : How To Find The Area Of A Square

What is the total area of the surface of the cube shown in the above diagram?

Explanation:

A cube comprises six faces, each of which is a square. To find its total surface area, find the area of one face by squaring its sidelength:

Then multiply this by six:

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

What is the total area of the surface of the cube shown in the above diagram?