The perimeter of a college athletic field is 96 meters and the length is 16 m more than the width. Find the length and width.
1 answer:
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The quadrilateral formed by this process will always be a parallelogram
<h3>Quadrilaterals</h3>A quadrilateral is simply any polygon that has four sides and four corners.
Common examples are:
- Square
- Rectangle
- Rhombus
- Kite
- Trapezoid
- Rhombus
- Parallelogram
A square is drawn at the coordinates:
(0,0), (6,0), (0,6) and (6,6)
The midpoints of the square sides are at the following coordinates:
(0,3), (3,6), (6,3) and (3,0)
When the points of the midpoints are joined together, they form a parallelogram
<h3>Figure 2</h3>A trapezoid is drawn at the coordinates:
(0,0), (2,6), (8,6) and (10,0)
The midpoints of the square sides are at the following coordinates:
(5,0), (5,6), (1,3) and (9,3)
When the points of the midpoints are joined together, they form a parallelogram
Hence, the quadrilateral formed by this process will always be a parallelogram
Read more about quadrilaterals and parallelograms at:
Answer:
6050 square feet
Step-by-step explanation:
Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet
Area of a rectangle is determined by multiplying the length of perpendicular sides:
The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.
A simple variable can be differentiated using below concept:
Using the above concepts to differentiate Area and calculate X will give:
Calculating Y:
Calculating Area:
