A rectangular plot, 21m by 14m, is to be turned into a rectangular flower bed with a grass border around its outside edge. The grass border is to be 2m wide. What is the area of the flower bed? What is the area of the grass border?
dimensions of flower bed :
17 m by 12 m, (cut off 2 m on each side
area = 17(12) = 204 m^2
To find the area of the flower bed, we need to subtract the area of the grass border from the total area of the rectangular plot.
1. Calculate the area of the rectangular plot:
Area = Length × Width
Area = 21m × 14m
Area = 294m²
2. Calculate the area of the grass border:
The grass border is 2m wide around each edge of the rectangular plot. So, we need to calculate the area of the rectangle formed by extending the sides of the original plot by 2m on all sides, and then subtract the area of the original plot from it.
Length of the extended rectangle = Length of the original plot + 2m on both sides = 21m + 2m + 2m = 25m
Width of the extended rectangle = Width of the original plot + 2m on both sides = 14m + 2m + 2m = 18m
Area of the extended rectangle = Length × Width
Area = 25m × 18m
Area = 450m²
Area of the grass border = Area of the extended rectangle - Area of the original plot
Area of the grass border = 450m² - 294m²
Area of the grass border = 156m²
Therefore, the area of the flower bed is 294m², and the area of the grass border is 156m².