The area of the rectangular pen is 10,000 m² and the area of the circular pen is 12,738.95 m².
For the rectangular pen, we want the sides to be congruent. To minimize perimeter and maximize area, the figure needs to be equilateral.
400/4 = 100 m for each side
This means that the area is 100(100) = 10,000 m².
If the pen is circular, this means the circumference is 400 m. Circumference is given by the formula C=πd:
400 = 3.14d
Divide both sides by 3.14:
400/3.14 = 3.14d/3.14
127.389 = d
The radius is half of the diameter:
r = 127.389/2 = 63.6945
The area of the circle is given by A=πr²:
A=3.14(63.6945)² = 12738.9465 ≈ 12738.95 m²
Answer:
t = - 3, t = - 1
Step-by-step explanation:
Given
h(t) = t² + 4t + 3
To find the zeros equate h(t) to zero, that is
t² + 4t + 3 = 0
Consider the factors of the constant term (+ 3) which sum to give the coefficient of the t- term
The factors are + 3 and + 1, since
3 × 1 = 3 and 3 + 1 = 4, thus
t² + 4t + 3 = (t + 3)(t + 1) = 0
Equate each factor to 0 and solve for t
t + 3 = 0 ⇒ t = - 3
t + 1 = 0 ⇒ t = - 1
smaller zero is t = - 3
larger zero is t = - 1
In the coordinate plane, the length of the line segment that connects points at (0, -1) and (-7, -2) is 7.07 units.
3x + 2x = 5x
5x = 10
5x/5= 10/5
X=2