Squares - SSAT Middle Level Math

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:

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:

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:

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:

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:

Each side can be divided into three 3-foot sections. This gives a total of squares. Another way of looking at the problem is that the total area of the large square is 81 and each smaller square has an area of 9. Dividing 81 by 9 gives the correct answer.

Figure A has area square feet.

Figure B has dimensions feet by feet, so its area is

square feet.

Figure C has area square feet.

From least area to greatest, the figures rank C, B, A.

The area of any quadrilateral is found by multiplying the length by the width. Because a square has four equal sides, the length and width are the same. For the square in this question, the length and width are .

Remember: area is always given in units2 .

The area of a square is found by multiplying the length of a side by itself.

If one side is 3 yards, this means one side is 9 feet since there are 3 feet in a yard.

Since every side is of equal length, you would multiply 9 feet by 9 feet to find the area.

This results in 81 square feet, which is the correct answer.

The area of the entire square is the square of the length of a side, or

.

The area of the right triangle is half the product of its legs, or

.

The area of the yellow region is therefore the difference of the two, or

.

The ratio of the area of the yellow region to that of the white region is

; that is, 55 to 9.

To find the area of a square, we will use the following formula:

where l is the length and w is the width of the square.

Now, we know the width of the square is 13cm. Because it is a square, all sides are equal. Therefore, the length is also 13cm.

So, we can substitute. We get

So this question requires you to know the formula for area for a square which is side squared.

Thus, , so one side is the square root of 16, or 4.

To figure out the perimeter, add up all of the sides of the square which are all the same (4).

A square has four sides of equal measure, so divide its perimeter by 4:

One foot is equal to 12 inches, so the perimeter 16 feet 4 inches is equal to inches.

An square has four sides of equal measure, so divide its perimeter by 4:

To convert 49 inches to feet and inches:

One side measures 4 feet 1 inch.

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.

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 a square has four equal sides, add to find the perimeter. Equivalently, multiply .

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

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

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