ISEE Lower Level Quantitative Reasoning › How to find the area of a square
A square has an area of . What is the length of one side?
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.
Daphne found the area of the square below to be 81 centimeters squared.
What is the length of one side of the square?
9 centimeters
81 centimeters
8 centimeters
20 centimeters
7 centimeters
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.
Michaela drew th square below.
What is the area of the square?
144 square centimeters
48 square centimeters
12 square centimeters
100 square centimeters
112 square centimeters
The area of a square can be found by multiplying the length of a side times itself. The side length of the above square is 12 cm. By finding 12 x 12, we find that the area of the square is 144 cm. squared.
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?
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
One side of a square is centimeters long. What is the area of the square?
The formula for finding the area of a square is , or, because this is a square,
.
area = centimeters
centimeters, or
James found the area of the square below to be 36 centimeters squared.
What is the length of one side of the square?
6 centimeters
36 centimeters
9 centimeters
8 centimeters
18 centimeters
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.
What is the area of a square if one side of the square is 6?
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.
If the area of a square is , what is the length of each side?
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.