The correct option is
B 124.69 sq m
The given swimming pool can be split as follows:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204347/original_Screenshot_2021-06-26_at_7.29.15_AM.png)
Rearranging the parts A1 and A2, we get:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1207848/original_Screenshot_2021-06-28_at_10.08.33_AM.png)
So, the total area of the swimming pool is the sum of the areas of Rectangle A1 and the Triangle A2.
The dimensions of A1 are as follows:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204350/original_Screenshot_2021-06-26_at_7.30.55_AM.png)
We know,
Area of a rectangle
= Length
× Breadth
So, area of the Rectangle A1 can be calculated as:
Area = Length
× Breadth
= 15.3 m
× 7.4 m
= 113.22 sq m
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1208849/original_Screenshot_2021-06-28_at_4.23.42_PM.png)
Now, the Triangle A2 can be shown as a half of the Rectangle R2 as follows:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204351/original_Screenshot_2021-06-26_at_7.32.06_AM.png)
We know,
Area of a triangle =
12 × Area of a rectangle
So, Area of A2 = Area of R2
÷ 2
= (Length
× Breadth)
÷ 2
= (7.4 m
× 3.1 m)
÷ 2
= (22.94 sq m)
÷ 2
= 11.47 sq m
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204357/original_Screenshot_2021-06-26_at_7.36.32_AM.png)
Combining both areas, we get the total area of the swimming pool as:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1208953/original_Screenshot_2021-06-28_at_5.00.26_PM.png)
So, the total area of the swimming pool is:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1208896/original_Screenshot_2021-06-28_at_4.45.52_PM.png)
Hence, the area of the given swimming pool is 124.69 sq m.