Find the area of a path 2 metres wide built around a rectangular pool 10m by 4m.
divide the sum of 19/16 amd 13/4 by thier difference
(10+4)(4+4) - 10*4
(19/16 + 13/4)/(13/4 - 9/16) = 71/43
To find the area of the path, we need to subtract the area of the pool from the area of the entire region including the path.
Step 1: Calculate the area of the entire region including the path.
The length of the entire region including the path would be the length of the pool plus twice the width of the path on each side.
Length of entire region including the path = 10m + 2(2m) = 10m + 4m = 14m
Similarly, the width of the entire region including the path would be the width of the pool plus twice the width of the path on each end.
Width of entire region including the path = 4m + 2(2m) = 4m + 4m = 8m
Therefore, the area of the entire region including the path is:
Area = Length x Width
Area = 14m x 8m = 112 square meters
Step 2: Calculate the area of the pool.
The area of the pool is simply the length multiplied by the width.
Area of pool = 10m x 4m = 40 square meters
Step 3: Calculate the area of the path by subtracting the area of the pool from the area of the entire region including the path.
Area of path = Area of entire region including the path - Area of pool
Area of path = 112 square meters - 40 square meters = 72 square meters
Therefore, the area of the path is 72 square meters.