The correct option is
A 52.2 sq m
The area of the given playground can be split as:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204318/original_Screenshot_2021-06-26_at_6.19.08_AM.png)
The areas of the three parts can be further rearranged as:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204324/original_Screenshot_2021-06-26_at_6.27.21_AM.png)
Part 2 is a big rectangle and the triangular parts 1 and 3 also combine to form a smaller rectangle.
We know,
Area of a rectangle
= Length
× Breadth
The area of the big rectangle (Part 2) can be calculated as:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204327/original_Screenshot_2021-06-26_at_6.47.17_AM.png)
Area = Length
× Breadth
= 8.7 m
× 5.3 m
= 46.11 sq m
So, the area of Part 2 is 46.11 sq m.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204328/original_Screenshot_2021-06-26_at_6.43.09_AM.png)
Next, we calculate the area of the smaller rectangle formed by Part 1 and Part 3.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204329/original_Screenshot_2021-06-26_at_6.52.42_AM.png)
Calculating the area of the smaller rectangle, we get:
Area = Length
× Breadth
= 8.7 m
× 0.7 m
= 6.09 sq m
So, the area of the smaller rectangle is 6.09 sq m.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204337/original_Screenshot_2021-06-26_at_7.11.42_AM.png)
Now, the total area of the park can be calculated as:
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204333/original_Screenshot_2021-06-26_at_7.04.10_AM.png)
∴Area of the park
= 46.11 sq m + 6.09 sq m
= 52.2 sq m
Hence, the total area of the park is 52.2 sq m.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1204339/original_Screenshot_2021-06-26_at_7.15.02_AM.png)