A rectangular swimming pool 22m long by 12m is edged on all four sides with a grass trip 8m wide find the area of the grass
To find the area of the grass strip surrounding the rectangular pool, we need to subtract the area of the pool itself from the total area of the rectangle formed by the grass strip.
First, let's calculate the area of the pool. The pool's dimensions are given as 22m long by 12m wide, so the area of the pool is:
Area of pool = length × width
Area of pool = 22m × 12m = 264m²
Next, let's calculate the total area of the rectangle formed by the grass strip. Since the grass strip surrounds all four sides of the pool, we need to add 8m to the length and width of the pool to get the dimensions of the rectangle.
Length of rectangle = length of pool + width of grass strip + width of grass strip
Length of rectangle = 22m + 8m + 8m = 38m
Width of rectangle = width of pool + width of grass strip + width of grass strip
Width of rectangle = 12m + 8m + 8m = 28m
Now, we can calculate the area of the grass strip by subtracting the area of the pool from the total area of the rectangle.
Area of grass strip = Area of rectangle - Area of pool
Area of grass strip = 38m × 28m - 264m²
Area of grass strip = 1064m² - 264m²
Area of grass strip = 800m²
Therefore, the area of the grass strip surrounding the rectangular pool is 800 square meters.