Respuesta :
Answer:
They need 17 bags of seed.
Step-by-step explanation:
First, lets divide the diagram in 3 parts and calculate the area for each part:
Part 1 (on the left of the diagram) - triangle
The base (b) of the triangle measures 320-240 = 80 feet
The height (h) of the triangle measures 75*2 (diameter of the half circle) = 150 feet
The area (At) of the triangle is:
At = (b*h)/2
At = (80*150)/2
At = 6000 square feet
Part 2 (on the middle of the diagram) - rectangle
The length (l) of the rectangle is 240 feet
The width (w) of the rectangle is 150 feet
The area (Ar) of the rectangle is:
Ar = l*w
Ar = 240*150
Ar = 36000 square feet
Part 3 (on the right of the diagram) - half circle
The radius of the circle is 75 feet
The area (Ac) of half the circle is:
Ac = πr²/2
Ac = π*(75)²/2
Ac = 2812.5π
Considering π=3.14
Ac = 8831 square feet
The total area of the figure is the sum of the areas:
Atotal = At + Ar + Ac
Atotal = 6000 + 36000 + 8831
Atotal = 50831
Now, we can calculate how many bags will be required
We know that
1 bag - 3000 square feet
Then
x - 50831
3000x = 50831
x = 50831/3000
x = 16.94
x = 17
They need 17 bags of seed.
