Area = side × side or side²
Area = side × 4
Area = (side²) / 2
Area = side × height
12 cm²
6 cm²
9 cm²
15 cm²
The area increases linearly with side length.
The area increases quadratically; doubling the side length quadruples the area.
The area remains the same regardless of side length.
The area decreases exponentially with side length.
Square centimeters (cm²)
Square meters (m²)
Meters (m)
Cubic meters (m³)
8 meters
4 meters
6 meters
5 meters
Multiply the area by 2 to find the side length.
Divide the area by 2 to find the side length.
Take the square root of the area to find the side length.
Square the area to find the side length.
Because it refers to the cube of the side length.
Because it measures the perimeter of the square.
Because it represents the area of a 1×1 square.
Because it involves only one dimension.
Area is a vector quantity because it has both magnitude and direction.
Area is a scalar quantity as it only has magnitude, not direction.
Area is neither scalar nor vector.
Area is sometimes scalar and sometimes vector, depending on the context.
Yes, if the product of the length and width of the rectangle equals the square of the square’s side length.
No, squares and rectangles can never have the same area.
Yes, but only if both are of equal perimeter.
Yes, but only if the rectangle is a perfect square.
20 cm
25 cm
15 cm
10 cm
Area = (diagonal²) / 2
Area = diagonal × 4
Area = diagonal²
Area = 2 × diagonal
The area increases by a factor of 9.
The area triples.
The area doubles.
The area remains the same.
Squaring makes the formula more complex.
Squaring accounts for both dimensions (length and width) in two-dimensional space.
It helps to calculate the volume.
It reduces errors in measurement.
Yes, it applies universally.
No, the properties of shapes differ in non-Euclidean geometry.
Yes, with slight modifications.
No, because area is not defined in non-Euclidean geometry.
Both measure the same aspect of a square.
Area measures perimeter, while perimeter measures area.
Area measures the surface covered by the square, while perimeter measures the distance around it.
Both can be calculated using the same formula.