<span>The perimeter of the area is the length of the fence.
Perimeter = x + y + y. This can be simplified to
Perimeter = x + 2y. You're told that the rancher has 100 m of fence, so the perimeter is 100 m:
100 = x + 2y (1)
The area of a rectangle is given by the formula A = length * width. The length in this case is x, and the width is y.
So, A = xy.
Solve equation (1) for y. Once you find the expression to which y equals, plug that for y into A = xy.
100 = x + 2y. Solve for y by subtracting both sides by x:
100 - x = 2y. Divide both sides by 2:
(100 - x)/2 = y
Substitute (100 - x)/2 for y into A = xy:
A = x[(100 - x)/2]
A = [x(100 - x)]/2
You can rewrite this as (100x - x²)/2 or 50x - (x²/2) or 50x - (1/2x²).
Hope that helped!</span>
X=-2.439312, -0.6612, 3.100432
When rates<span> are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called </span>unit rates<span>. To determine the rate, we just divide the distance traveled by the time it takes. Therefore, the rate of the plane would be
rate = 256 / 30(1/60) = 512 miles per hour</span>