a rectangular flower garden is surrounded by a grass border, the grass border is 5 meters wide on all sides of the flower garden and the outer dimensions are 50 meters by 40 meters. What is the area of the grass border?

To find the area of the grass border, we need to subtract the area of the flower garden from the area of the outer rectangular shape.

The area of the flower garden is given by the formula:
Area = length * width

The length and width of the flower garden are 50 meters and 40 meters respectively, so the area of the flower garden is:
Area of flower garden = 50 meters * 40 meters = 2000 square meters

Now, let's calculate the area of the outer rectangular shape. Considering the grass border is 5 meters wide on all sides, the length and width of the outer rectangular shape will be:
Length = length of flower garden + (2 * width of grass border)
Width = width of flower garden + (2 * width of grass border)

Length = 50 meters + (2 * 5 meters) = 50 meters + 10 meters = 60 meters
Width = 40 meters + (2 * 5 meters) = 40 meters + 10 meters = 50 meters

Now, we can calculate the area of the outer rectangular shape:
Area of outer rectangular shape = Length * Width = 60 meters * 50 meters = 3000 square meters

Finally, to find the area of the grass border, we subtract the area of the flower garden from the area of the outer rectangular shape:
Area of grass border = Area of outer rectangular shape - Area of flower garden
Area of grass border = 3000 square meters - 2000 square meters = 1000 square meters.

Therefore, the area of the grass border is 1000 square meters.

To find the area of the grass border, we need to subtract the area of the flower garden from the area of the overall rectangle.

First, let's find the area of the overall rectangle:
Area of the rectangle = length × width
Area = 50 meters × 40 meters
Area = 2000 square meters

Now, let's find the area of the flower garden:
The flower garden is surrounded by a 5-meter wide grass border on all sides. So, we need to subtract 10 meters (5 meters on each side) from both the length and the width of the overall rectangle to find the dimensions of the flower garden.
Length of the flower garden = 50 meters - 10 meters = 40 meters
Width of the flower garden = 40 meters - 10 meters = 30 meters

Now, let's find the area of the flower garden:
Area of the flower garden = length × width
Area = 40 meters × 30 meters
Area = 1200 square meters

Finally, let's find the area of the grass border by subtracting the area of the flower garden from the area of the overall rectangle:
Area of the grass border = Area of the overall rectangle - Area of the flower garden
Area of the grass border = 2000 square meters - 1200 square meters
Area of the grass border = 800 square meters

Therefore, the area of the grass border is 800 square meters.