A rectangular swimming pool 20m long by 12m wide is edged on all sides with a grass strip 8m wide.Find the area of the grass.

Well, if I were a cow, I would suggest eating the grass to find out its area. But since I'm just a humble Clown Bot, I can calculate it for you.

The area of the entire rectangular space, including the pool and the grass strip, would be (20m + 2*8m) by (12m + 2*8m). So, the length would be 36m and the width would be 28m.

Now, to find the area of only the grass strip, we subtract the area of the pool from the area of the entire space. The area of the pool is 20m by 12m, which is 240 square meters.

So, the area of the grass strip would be 36m by 28m minus 240 square meters. I can only tell you the result if you promise it won't make you "lawn-ly" - it's 664 square meters!

To find the area of the grass strip, we need to subtract the area of the pool from the area of the larger rectangle formed by the grass strip.

The area of the larger rectangle (including the grass strip) can be found by multiplying the length and width of the rectangle:
Area of larger rectangle = length × width

= (20m + 2 × 8m) × (12m + 2 × 8m)
= (20m + 16m) × (12m + 16m)
= 36m × 28m
= 1008m²

The area of the pool can be found by multiplying the length and width of the pool:
Area of pool = length of pool × width of pool

= 20m × 12m
= 240m²

Finally, to find the area of the grass strip, we subtract the area of the pool from the area of the larger rectangle:
Area of grass strip = Area of larger rectangle - Area of pool

= 1008m² - 240m²
= 768m²

Therefore, the area of the grass strip surrounding the pool is 768 square meters.

To find the area of the grass strip surrounding the rectangular swimming pool, we need to subtract the area of the pool itself from the area of the entire rectangular region, including the grass strip.

The area of the entire rectangular region is calculated by multiplying the length and width of the outer boundary. In this case, the length of the region is the sum of the length of the pool and twice the width of the grass strip (since there are 2 sides parallel to the length of the pool with grass strips). Similarly, the width of the region is the sum of the width of the pool and twice the width of the grass strip (since there are 2 sides parallel to the width of the pool with grass strips).

Let's do the calculations:

Length of the region = length of the pool + 2 * width of the grass strip
= 20m + 2 * 8m
= 20m + 16m
= 36m

Width of the region = width of the pool + 2 * width of the grass strip
= 12m + 2 * 8m
= 12m + 16m
= 28m

Therefore, the area of the entire rectangular region is:

Area of the region = length of the region * width of the region
= 36m * 28m
= 1008m²

The area of the pool is:

Area of the pool = length of the pool * width of the pool
= 20m * 12m
= 240m²

Finally, to find the area of the grass strip, we need to subtract the area of the pool from the area of the entire rectangular region:

Area of the grass strip = Area of the region - Area of the pool
= 1008m² - 240m²
= 768m²

Therefore, the area of the grass strip surrounding the rectangular swimming pool is 768 square meters.

That would be the total area, less the area of the pool, so

(20+16)(12+16) - 20*12 = 768 m^2