Can two different size rectangles have the same area? Explain.
A = LW
24 = 2*12
24 = 3*8
24 = 4*6
that isn't helping ms.sue
Yes, two different size rectangles can have the same area. To understand why, let's start by understanding what area means. The area of a rectangle is the amount of space contained within its boundaries.
The formula to calculate the area of a rectangle is: Area = Length x Width.
Now, imagine we have two rectangles with different dimensions but the same area. For example, Rectangle A has a length of 6 units and a width of 3 units, making its area 6 x 3 = 18 square units. Rectangle B, on the other hand, has a length of 9 units and a width of 2 units. Its area is 9 x 2 = 18 square units.
Although these rectangles have different sizes in terms of length and width, they both occupy the same amount of space within their boundaries. This is because even though the dimensions are different, the multiplication of length and width gives the same product, resulting in equal areas.
In summary, two rectangles with different sizes but the same area are possible because area measures the space within the boundaries, and it is the product of length and width.