Answer:
149 ft² were covered in sod
Step-by-step explanation:
To solve this problem, we will follow these steps:
1- get the total area of the garden
2- get the area of the two uncovered triangles
3- Subtract the areas of the uncovered triangles from the total area of the garden
Now, let's proceed:
1- getting the total area of the garden:
The garden is rectangular shaped with dimensions 20 ft and 9.25 ft
Area of garden = length * width
Area of garden = 20 * 9.25 = 185 ft²
2- getting the areas of the two uncovered triangles:
The two triangles are congruent. Therefore, we will get the area of one triangle and multiply it by 2 to get the total area of the uncovered part
In the given triangle, we have:
base = height = 6 ft
Area of one triangle = 0.5 * base * height
Area of one triangle = 0.5 * 6 * 6 = 18 ft²
Total area of uncovered part = 2 * 18 = 36 ft²
3- getting the area of the covered part:
Covered area = total area - area of uncovered part
Covered area = 185 - 36 = 149 ft²
Hope this helps :)