SSAT Middle Level Quantitative › Squares
The area of the square is 81. What is the sum of the lengths of three sides of the square?
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 .
The area of the square is 81. What is the sum of the lengths of three sides of the square?
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 .
A square is 9 feet long on each side. How many smaller squares, each 3 feet on a side can be cut out of the larger square?
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.
A square is 9 feet long on each side. How many smaller squares, each 3 feet on a side can be cut out of the larger square?
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.
Find the area of a square with a width of 13cm.
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
Find the area of a square with a width of 13cm.
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
A square has perimeter 89.4 centimeters. What is the length of one side?
A square has four sides of equal measure, so divide its perimeter by 4:
A square has perimeter 89.4 centimeters. What is the length of one side?
A square has four sides of equal measure, so divide its perimeter by 4:
Find the perimeter of the square in the figure.
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
Find the perimeter of the square in the figure.
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