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. Determine the area of the grass border and show how you got this answer

To find the area of the grass border, we need to calculate the difference between the area of the outer rectangle and the area of the flower garden.

Step 1: Calculate the area of the outer rectangle
The length of the outer rectangle is 50 meters and the width is 40 meters.
Area = length × width
Area = 50 meters × 40 meters
Area = 2000 square meters

Step 2: Calculate the area of the flower garden
Since the grass border is 5 meters wide on all sides, we need to subtract twice the width of the border from the dimensions of the outer rectangle to get the dimensions of the flower garden.
Length of the flower garden = 50 meters - 2 × 5 meters = 50 meters - 10 meters = 40 meters
Width of the flower garden = 40 meters - 2 × 5 meters = 40 meters - 10 meters = 30 meters

Area of the flower garden = length × width
Area of the flower garden = 40 meters × 30 meters
Area of the flower garden = 1200 square meters

Step 3: Calculate the area of the grass border
Area of the grass border = Area of the outer 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.

(50+5)(40+5) - (50*40) = ?