Squares - ISEE Lower Level Quantitative Reasoning
Card 0 of 1265
A square has an area of 
. What is the length of one side?
A square has an area of
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.
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,
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What is the area of a square if one side of the square is 6?
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 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
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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?
A right triangle has a base 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
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
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If the area of a square is 
, what is the length of each side?
If the area of a square is
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.
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
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One side of a square is 
centimeters long. What is the area of the square?
One side of a square is
The formula for finding the area of a square is 
, or, because this is a square, 
.
area = 
centimeters 
centimeters, or 
The formula for finding the area of a square is
area =
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James found the area of the square below to be 36 centimeters squared.
What is the length of one side of the square?
James found the area of the square below to be 36 centimeters squared.
What is the length of one side of the square?
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.
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.
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Michaela drew th square below.
What is the area of the square?
Michaela drew th square below.
What is the area of the square?
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.
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.
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Daphne found the area of the square below to be 81 centimeters squared.
What is the length of one side of the square?
Daphne found the area of the square below to be 81 centimeters squared.
What is the length of one side of the square?
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.
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.
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What is the perimeter of a square if one side is 5?
What is the perimeter of a square if one side is 5?
All sides of a square are equal, so if one side is equal to 5, each of the sides is equal to 5. A square has 4 sides. We make the following equation for the perimeter.
All sides of a square are equal, so if one side is equal to 5, each of the sides is equal to 5. A square has 4 sides. We make the following equation for the perimeter.
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What is the perimeter of a rectangle that has a length of 10 and a width of 4?
What is the perimeter of a rectangle that has a length of 10 and a width of 4?
This rectangle has two sides that are equal to 10, and two sides that are equal to 4. The perimeter is equal to 
.
The formula for the perimeter of a rectangle is 
, or 
.
This rectangle has two sides that are equal to 10, and two sides that are equal to 4. The perimeter is equal to
The formula for the perimeter of a rectangle is
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Let 
represent the length of a rectangle. What is the perimeter when the width is 
less than the length?
Let
The formula for finding the perimeter of a rectangle is 
, or 
times the length plus 
times the width. We get the same result just adding all the sides together. If the length is 
, then the width is 
. Plugging this information into the formula, we get 
. Expand this by multiplying 
times 
and 
times 
to get 
. Then simplify by adding 
to get 
.
The formula for finding the perimeter of a rectangle is
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If a rectangle has a length that is equal to 10 inches, and a width that is equal to one fifth of the length, then what is the perimeter?
If a rectangle has a length that is equal to 10 inches, and a width that is equal to one fifth of the length, then what is the perimeter?
If a rectangle has a length that is equal to 10 inches, and a width that is equal to one fifth of the length, then the width will equal 
.
The perimeter is equal to 
If a rectangle has a length that is equal to 10 inches, and a width that is equal to one fifth of the length, then the width will equal
The perimeter is equal to
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Daniel found the perimeter of the rectangle below to be 28 meters.
What is the length of the missing side of the rectangle?
Daniel found the perimeter of the rectangle below to be 28 meters.
What is the length of the missing side of the rectangle?
The perimeter of a rectangle can be found using the formulat 2w + 2l = P. In other words, twice the width plus twice the length equals the perimeter.
Start by finding the length of the given sides. In this case, 8+8 = 16 meters.
Subtract this value from the perimeter of the rectangle: 28 - 16 = 12.
The two remaining sides, each X meters long, must add up to 12 meters. Because opposite sides in a rectangle are the same length, X = 6 meters.
The perimeter of a rectangle can be found using the formulat 2w + 2l = P. In other words, twice the width plus twice the length equals the perimeter.
Start by finding the length of the given sides. In this case, 8+8 = 16 meters.
Subtract this value from the perimeter of the rectangle: 28 - 16 = 12.
The two remaining sides, each X meters long, must add up to 12 meters. Because opposite sides in a rectangle are the same length, X = 6 meters.
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Erica measured the sides of a rectangle and found the values below.
What is the perimeter of the rectangle?
Erica measured the sides of a rectangle and found the values below.
What is the perimeter of the rectangle?
The perimeter of a rectangle can be found by adding up all of the sides of the figure. We know that opposite sides of a rectangle have the same length, so the equation to add up all four sides should look like 5+5+8+8 = P. The perimeter is 26 meters.
The perimeter of a rectangle can be found by adding up all of the sides of the figure. We know that opposite sides of a rectangle have the same length, so the equation to add up all four sides should look like 5+5+8+8 = P. The perimeter is 26 meters.
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What is the perimeter of the rectangle below?
What is the perimeter of the rectangle below?
The formula for perimeter of a rectangle is 
To solve for the perimeter we can plug our known values into the equation.
The formula for perimeter of a rectangle is
To solve for the perimeter we can plug our known values into the equation.
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What is the perimeter of the rectangle below?
What is the perimeter of the rectangle below?
The formula for perimeter of a rectangle is 
To solve for the perimeter we can plug our known values into the equation.
The formula for perimeter of a rectangle is
To solve for the perimeter we can plug our known values into the equation.
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What is the perimeter of the rectangle below?
What is the perimeter of the rectangle below?
The formula for perimeter of a rectangle is 
To solve for the perimeter we can plug our known values into the equation.
The formula for perimeter of a rectangle is
To solve for the perimeter we can plug our known values into the equation.
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What is the perimeter of the rectangle below?
What is the perimeter of the rectangle below?
The formula for perimeter of a rectangle is 
To solve for the perimeter we can plug our known values into the equation.
The formula for perimeter of a rectangle is
To solve for the perimeter we can plug our known values into the equation.
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What is the perimeter of the rectangle below?
What is the perimeter of the rectangle below?
The formula for perimeter of a rectangle is 
To solve for the perimeter we can plug our known values into the equation.
The formula for perimeter of a rectangle is
To solve for the perimeter we can plug our known values into the equation.
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What is the perimeter of the rectangle below?
What is the perimeter of the rectangle below?
The formula for perimeter of a rectangle is 
To solve for the perimeter we can plug our known values into the equation.
The formula for perimeter of a rectangle is
To solve for the perimeter we can plug our known values into the equation.
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