It will cost $1,575 to install the rubber chips on the playground area.
To find the cost of installing the rubber chips, you need to calculate the area of the playground and then multiply it by the cost per square yard.
The shape of the playground area seems to be irregular, and you've provided the lengths of different sides. Assuming these are the lengths of the sides of a polygon, you can divide the polygon into smaller shapes (like rectangles and triangles) and calculate their individual areas, then sum them up to find the total area.
Here's one way to divide the polygon:
Divide it into a rectangle with dimensions 6 yd by 4 yd.
Add a triangle on the left side with base 2 yd and height 4 yd.
Add another triangle on the right side with base 2 yd and height 2 yd.
Now, calculate the area of each shape:
Area of the rectangle = length × width = 6 yd × 4 yd = 24 square yards.
Area of the left triangle = (base × height) / 2 = (2 yd × 4 yd) / 2 = 4 square yards.
Area of the right triangle = (base × height) / 2 = (2 yd × 2 yd) / 2 = 2 square yards.
Now, sum up these areas:
Total area = 24 square yards + 4 square yards + 2 square yards = 30 square yards.
Now, multiply the total area by the cost per square yard:
Total cost = Total area × Cost per square yard
= 30 square yards × $52.50/square yard
= $1,575
So, it will cost $1,575 to install the rubber chips on the playground area.