Compare the total of units you get using a square and rectangle to measure the area
3-3×6+2
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
Area = length * width
To compare the total number of units you get when using a square and a rectangle to measure the area, you need to understand how to calculate the area of each shape.
1. Square: A square is a shape with all four sides of equal length. To measure the area of a square, you simply multiply the length of one side by itself (squared). Therefore, the formula for the area of a square is:
Area = side length x side length = s^2
2. Rectangle: A rectangle is a shape with opposite sides of equal length, but the adjacent sides can have different lengths. To measure the area of a rectangle, you multiply the length of one side (often referred to as the base) by the length of the adjacent side (often referred to as the height). Thus, the formula for the area of a rectangle is:
Area = base length x height = l x w
Now, let's compare the total number of units you get using a square and a rectangle:
Assuming both the square and rectangle have the same side length or base length, let's say "s units" or "l units" respectively.
1. Square:
Area of Square = s^2 units
2. Rectangle:
Area of Rectangle = l x w units
If the length and width of the rectangle are equal to the side length of the square (s units), then the area of the rectangle will also be s^2 units. In this case, both the square and rectangle will yield the same total number of units.
However, if the length and width of the rectangle are different, then the area of the rectangle will be greater or smaller than the area of the square, depending on the specific measurements. In this scenario, the shape with the larger area will have a greater total number of units.