there is a path 7 meter wide outside around the square playground of side 60 meter each. find the area of the path...........?
area = length * width
area of playground + area of path = total area
area of path = total area - area of playground
The path has the same dimensions on each side because it surrounds a square. Thus, 7 meters is added onto each side of the square playground, and the total of each side becomes 67m.
Find the total area:
67m * 67m = 4489m2
Area of the square playground:
60m * 60m = 3600m2
4489m2 - 36002 = 889m2
To find the area of the path surrounding the square playground, you first need to calculate the area of the larger square formed by extending the side of the playground by twice the width of the path.
The side length of the larger square will be 60 meters + 7 meters + 7 meters, since there are two sides of the path on either side of the playground.
So, the side length of the larger square is 60 meters + (2 * 7 meters) = 60 meters + 14 meters = 74 meters.
Now, to find the area of the larger square, you square the side length:
Area of the larger square = side length ^ 2 = 74 meters ^ 2 = 5476 square meters.
Next, you need to calculate the area of the smaller square, which represents the playground itself.
The side length of the smaller square is 60 meters.
So, the area of the smaller square is:
Area of smaller square = side length ^ 2 = 60 meters ^ 2 = 3600 square meters.
Finally, subtract the area of the smaller square from the area of the larger square to find the area of the path:
Area of path = Area of larger square - Area of smaller square = 5476 square meters - 3600 square meters = 1876 square meters.
Therefore, the area of the path surrounding the square playground is 1876 square meters.