Answer:
Total area: 19802.5 ft2
Step-by-step explanation:
The total fencing being used will be the perimeter of the rectangular area plus 3 sides that will divide the total area in 4 pens. These sides will be parallel to the width of the total area, as the width will be the smaller side of the rectangle.
Calling the length L and the width W, we have that:
2L + 2W + 3W = 890
2L + 5W = 890
The total area will be:
A = L*W
From the first equation, we have:
L = 445 - 2.5W
Using this in the area equation, we have:
A = (445 - 2.5W)*W = 445W - 2.5W^2
To find the width that gives the maximum area, we find the vertix of the quadratic equation:
W_vertix = -b/2a
Where a and b are coefficients of the quadratic equation (in our case, a = -2.5 and b = 445). So:
W_vertix = -445/(-5) = 89
The maximum area will be:
A = (445 - 2.5W)*W = (445 - 222.5)*89 = 19802.5 ft2
Answer:
12 sides
Step-by-step explanation:
If the three equal angles add to 90, this means each of those angles must by 30 degrees.
Next, we can use the theorem that the sum of the exterior angles adds to 360 (this is true for any polygon). So, as the exterior angles are all equal to 30, we just work out 360 ÷ 30 = 12.
So the polygon has 12 angles, and therefore 12 sides also.
25% of the workers don't have company health insurance
Answer:
the 3rd one
Step-by-step explanation:
